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Finding the Third Proportional to 956,817 and 1,541,677.50

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Solution

The third proportional to 956,817 and 1,541,677.50 is: 2,484,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,817 : 1,541,677.50 = 1,541,677.50 : x
  2. Step 2: Convert to fraction form
    956,817/1,541,677.50 = 1,541,677.50/x
  3. Step 3: Cross multiply
    956,817x = 1,541,677.50 × 1,541,677.50
  4. Step 4: Simplify right side
    956,817x = 2,376,769,514,006.25
  5. Step 5: Solve for x
    x = 2,376,769,514,006.25/956,817
  6. Step 6: Final answer
    x = 2,484,037.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.