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Finding the Third Proportional to 1,013,718.25 and 1,417,237.88

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Solution

The third proportional to 1,013,718.25 and 1,417,237.88 is: 1,981,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,718.25 : 1,417,237.88 = 1,417,237.88 : x
  2. Step 2: Convert to fraction form
    1,013,718.25/1,417,237.88 = 1,417,237.88/x
  3. Step 3: Cross multiply
    1,013,718.25x = 1,417,237.88 × 1,417,237.88
  4. Step 4: Simplify right side
    1,013,718.25x = 2,008,563,194,334.52
  5. Step 5: Solve for x
    x = 2,008,563,194,334.52/1,013,718.25
  6. Step 6: Final answer
    x = 1,981,382.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.