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Finding the Third Proportional to 832,518 and 1,239,561

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Solution

The third proportional to 832,518 and 1,239,561 is: 1,845,619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,518 : 1,239,561 = 1,239,561 : x
  2. Step 2: Convert to fraction form
    832,518/1,239,561 = 1,239,561/x
  3. Step 3: Cross multiply
    832,518x = 1,239,561 × 1,239,561
  4. Step 4: Simplify right side
    832,518x = 1,536,511,472,721
  5. Step 5: Solve for x
    x = 1,536,511,472,721/832,518
  6. Step 6: Final answer
    x = 1,845,619.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.