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Finding the Third Proportional to 890,048 and 1,377,309

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Solution

The third proportional to 890,048 and 1,377,309 is: 2,131,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,048 : 1,377,309 = 1,377,309 : x
  2. Step 2: Convert to fraction form
    890,048/1,377,309 = 1,377,309/x
  3. Step 3: Cross multiply
    890,048x = 1,377,309 × 1,377,309
  4. Step 4: Simplify right side
    890,048x = 1,896,980,081,481
  5. Step 5: Solve for x
    x = 1,896,980,081,481/890,048
  6. Step 6: Final answer
    x = 2,131,323.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.