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Finding the Third Proportional to 3,478,438 and 5,416,428

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Solution

The third proportional to 3,478,438 and 5,416,428 is: 8,434,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478,438 : 5,416,428 = 5,416,428 : x
  2. Step 2: Convert to fraction form
    3,478,438/5,416,428 = 5,416,428/x
  3. Step 3: Cross multiply
    3,478,438x = 5,416,428 × 5,416,428
  4. Step 4: Simplify right side
    3,478,438x = 29,337,692,279,184
  5. Step 5: Solve for x
    x = 29,337,692,279,184/3,478,438
  6. Step 6: Final answer
    x = 8,434,157.02

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.