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Finding the Third Proportional to 3,157,412 and 4,764,534

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Solution

The third proportional to 3,157,412 and 4,764,534 is: 7,189,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157,412 : 4,764,534 = 4,764,534 : x
  2. Step 2: Convert to fraction form
    3,157,412/4,764,534 = 4,764,534/x
  3. Step 3: Cross multiply
    3,157,412x = 4,764,534 × 4,764,534
  4. Step 4: Simplify right side
    3,157,412x = 22,700,784,237,156
  5. Step 5: Solve for x
    x = 22,700,784,237,156/3,157,412
  6. Step 6: Final answer
    x = 7,189,680.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.