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Finding the Third Proportional to 747,409 and 1,754,661.50

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Solution

The third proportional to 747,409 and 1,754,661.50 is: 4,119,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,409 : 1,754,661.50 = 1,754,661.50 : x
  2. Step 2: Convert to fraction form
    747,409/1,754,661.50 = 1,754,661.50/x
  3. Step 3: Cross multiply
    747,409x = 1,754,661.50 × 1,754,661.50
  4. Step 4: Simplify right side
    747,409x = 3,078,836,979,582.25
  5. Step 5: Solve for x
    x = 3,078,836,979,582.25/747,409
  6. Step 6: Final answer
    x = 4,119,346.94

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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.