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Finding the Third Proportional to 1,526,142 and 2,429,314

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Solution

The third proportional to 1,526,142 and 2,429,314 is: 3,866,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526,142 : 2,429,314 = 2,429,314 : x
  2. Step 2: Convert to fraction form
    1,526,142/2,429,314 = 2,429,314/x
  3. Step 3: Cross multiply
    1,526,142x = 2,429,314 × 2,429,314
  4. Step 4: Simplify right side
    1,526,142x = 5,901,566,510,596
  5. Step 5: Solve for x
    x = 5,901,566,510,596/1,526,142
  6. Step 6: Final answer
    x = 3,866,983.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.