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Finding the Third Proportional to 4,730,814 and 7,412,715

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Solution

The third proportional to 4,730,814 and 7,412,715 is: 11,614,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730,814 : 7,412,715 = 7,412,715 : x
  2. Step 2: Convert to fraction form
    4,730,814/7,412,715 = 7,412,715/x
  3. Step 3: Cross multiply
    4,730,814x = 7,412,715 × 7,412,715
  4. Step 4: Simplify right side
    4,730,814x = 54,948,343,671,225
  5. Step 5: Solve for x
    x = 54,948,343,671,225/4,730,814
  6. Step 6: Final answer
    x = 11,614,987.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.