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Finding the Third Proportional to 655,457,714 and 1,404,407,432

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Solution

The third proportional to 655,457,714 and 1,404,407,432 is: 3,009,134,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,457,714 : 1,404,407,432 = 1,404,407,432 : x
  2. Step 2: Convert to fraction form
    655,457,714/1,404,407,432 = 1,404,407,432/x
  3. Step 3: Cross multiply
    655,457,714x = 1,404,407,432 × 1,404,407,432
  4. Step 4: Simplify right side
    655,457,714x = 1,972,360,235,056,834,560
  5. Step 5: Solve for x
    x = 1,972,360,235,056,834,560/655,457,714
  6. Step 6: Final answer
    x = 3,009,134,217.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.