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Finding the Third Proportional to 485,755,956 and 710,415,894

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Solution

The third proportional to 485,755,956 and 710,415,894 is: 1,038,980,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,755,956 : 710,415,894 = 710,415,894 : x
  2. Step 2: Convert to fraction form
    485,755,956/710,415,894 = 710,415,894/x
  3. Step 3: Cross multiply
    485,755,956x = 710,415,894 × 710,415,894
  4. Step 4: Simplify right side
    485,755,956x = 504,690,742,447,819,264
  5. Step 5: Solve for x
    x = 504,690,742,447,819,264/485,755,956
  6. Step 6: Final answer
    x = 1,038,980,039.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.