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Finding the Third Proportional to 5,812,294 and 7,978,688

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Solution

The third proportional to 5,812,294 and 7,978,688 is: 10,952,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812,294 : 7,978,688 = 7,978,688 : x
  2. Step 2: Convert to fraction form
    5,812,294/7,978,688 = 7,978,688/x
  3. Step 3: Cross multiply
    5,812,294x = 7,978,688 × 7,978,688
  4. Step 4: Simplify right side
    5,812,294x = 63,659,462,201,344
  5. Step 5: Solve for x
    x = 63,659,462,201,344/5,812,294
  6. Step 6: Final answer
    x = 10,952,553.71

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