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Finding the Third Proportional to 820,294,381.13 and 1,172,181,587.63

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Solution

The third proportional to 820,294,381.13 and 1,172,181,587.63 is: 1,675,020,219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,294,381.13 : 1,172,181,587.63 = 1,172,181,587.63 : x
  2. Step 2: Convert to fraction form
    820,294,381.13/1,172,181,587.63 = 1,172,181,587.63/x
  3. Step 3: Cross multiply
    820,294,381.13x = 1,172,181,587.63 × 1,172,181,587.63
  4. Step 4: Simplify right side
    820,294,381.13x = 1,374,009,674,367,065,600
  5. Step 5: Solve for x
    x = 1,374,009,674,367,065,600/820,294,381.13
  6. Step 6: Final answer
    x = 1,675,020,219.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.