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Finding the Third Proportional to 462,583,926 and 634,327,686

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Solution

The third proportional to 462,583,926 and 634,327,686 is: 869,834,835.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,583,926 : 634,327,686 = 634,327,686 : x
  2. Step 2: Convert to fraction form
    462,583,926/634,327,686 = 634,327,686/x
  3. Step 3: Cross multiply
    462,583,926x = 634,327,686 × 634,327,686
  4. Step 4: Simplify right side
    462,583,926x = 402,371,613,226,114,624
  5. Step 5: Solve for x
    x = 402,371,613,226,114,624/462,583,926
  6. Step 6: Final answer
    x = 869,834,835.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.