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Finding the Third Proportional to 747,513 and 1,754,905.50

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Solution

The third proportional to 747,513 and 1,754,905.50 is: 4,119,919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,513 : 1,754,905.50 = 1,754,905.50 : x
  2. Step 2: Convert to fraction form
    747,513/1,754,905.50 = 1,754,905.50/x
  3. Step 3: Cross multiply
    747,513x = 1,754,905.50 × 1,754,905.50
  4. Step 4: Simplify right side
    747,513x = 3,079,693,313,930.25
  5. Step 5: Solve for x
    x = 3,079,693,313,930.25/747,513
  6. Step 6: Final answer
    x = 4,119,919.40

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.