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Finding the Third Proportional to 2,257,012.13 and 3,498,697.13

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Solution

The third proportional to 2,257,012.13 and 3,498,697.13 is: 5,423,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,012.13 : 3,498,697.13 = 3,498,697.13 : x
  2. Step 2: Convert to fraction form
    2,257,012.13/3,498,697.13 = 3,498,697.13/x
  3. Step 3: Cross multiply
    2,257,012.13x = 3,498,697.13 × 3,498,697.13
  4. Step 4: Simplify right side
    2,257,012.13x = 12,240,881,572,483.27
  5. Step 5: Solve for x
    x = 12,240,881,572,483.27/2,257,012.13
  6. Step 6: Final answer
    x = 5,423,489.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.