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Finding the Third Proportional to 1,625,749.31 and 3,764,752.31

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Solution

The third proportional to 1,625,749.31 and 3,764,752.31 is: 8,718,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625,749.31 : 3,764,752.31 = 3,764,752.31 : x
  2. Step 2: Convert to fraction form
    1,625,749.31/3,764,752.31 = 3,764,752.31/x
  3. Step 3: Cross multiply
    1,625,749.31x = 3,764,752.31 × 3,764,752.31
  4. Step 4: Simplify right side
    1,625,749.31x = 14,173,359,974,474.10
  5. Step 5: Solve for x
    x = 14,173,359,974,474.10/1,625,749.31
  6. Step 6: Final answer
    x = 8,718,047.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.