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Finding the Third Proportional to 1,402,644.41 and 1,882,532.87

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Solution

The third proportional to 1,402,644.41 and 1,882,532.87 is: 2,526,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,644.41 : 1,882,532.87 = 1,882,532.87 : x
  2. Step 2: Convert to fraction form
    1,402,644.41/1,882,532.87 = 1,882,532.87/x
  3. Step 3: Cross multiply
    1,402,644.41x = 1,882,532.87 × 1,882,532.87
  4. Step 4: Simplify right side
    1,402,644.41x = 3,543,929,988,687.64
  5. Step 5: Solve for x
    x = 3,543,929,988,687.64/1,402,644.41
  6. Step 6: Final answer
    x = 2,526,606.15

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.