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Finding the Third Proportional to 442,854,787 and 951,430,650

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Solution

The third proportional to 442,854,787 and 951,430,650 is: 2,044,056,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,854,787 : 951,430,650 = 951,430,650 : x
  2. Step 2: Convert to fraction form
    442,854,787/951,430,650 = 951,430,650/x
  3. Step 3: Cross multiply
    442,854,787x = 951,430,650 × 951,430,650
  4. Step 4: Simplify right side
    442,854,787x = 905,220,281,759,422,464
  5. Step 5: Solve for x
    x = 905,220,281,759,422,464/442,854,787
  6. Step 6: Final answer
    x = 2,044,056,671.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.