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Finding the Third Proportional to 971,545.50 and 1,358,594.44

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Solution

The third proportional to 971,545.50 and 1,358,594.44 is: 1,899,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,545.50 : 1,358,594.44 = 1,358,594.44 : x
  2. Step 2: Convert to fraction form
    971,545.50/1,358,594.44 = 1,358,594.44/x
  3. Step 3: Cross multiply
    971,545.50x = 1,358,594.44 × 1,358,594.44
  4. Step 4: Simplify right side
    971,545.50x = 1,845,778,845,605.94
  5. Step 5: Solve for x
    x = 1,845,778,845,605.94/971,545.50
  6. Step 6: Final answer
    x = 1,899,837.78

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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.