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Finding the Third Proportional to 5,709,610 and 8,406,708

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Solution

The third proportional to 5,709,610 and 8,406,708 is: 12,377,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,610 : 8,406,708 = 8,406,708 : x
  2. Step 2: Convert to fraction form
    5,709,610/8,406,708 = 8,406,708/x
  3. Step 3: Cross multiply
    5,709,610x = 8,406,708 × 8,406,708
  4. Step 4: Simplify right side
    5,709,610x = 70,672,739,397,264
  5. Step 5: Solve for x
    x = 70,672,739,397,264/5,709,610
  6. Step 6: Final answer
    x = 12,377,857.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.