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Finding the Third Proportional to 865,006.50 and 1,310,427

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Solution

The third proportional to 865,006.50 and 1,310,427 is: 1,985,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,006.50 : 1,310,427 = 1,310,427 : x
  2. Step 2: Convert to fraction form
    865,006.50/1,310,427 = 1,310,427/x
  3. Step 3: Cross multiply
    865,006.50x = 1,310,427 × 1,310,427
  4. Step 4: Simplify right side
    865,006.50x = 1,717,218,922,329
  5. Step 5: Solve for x
    x = 1,717,218,922,329/865,006.50
  6. Step 6: Final answer
    x = 1,985,209.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.