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Finding the Third Proportional to 546,092,565 and 1,203,496,185

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Solution

The third proportional to 546,092,565 and 1,203,496,185 is: 2,652,303,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,092,565 : 1,203,496,185 = 1,203,496,185 : x
  2. Step 2: Convert to fraction form
    546,092,565/1,203,496,185 = 1,203,496,185/x
  3. Step 3: Cross multiply
    546,092,565x = 1,203,496,185 × 1,203,496,185
  4. Step 4: Simplify right side
    546,092,565x = 1,448,403,067,309,554,176
  5. Step 5: Solve for x
    x = 1,448,403,067,309,554,176/546,092,565
  6. Step 6: Final answer
    x = 2,652,303,217.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.