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Finding the Third Proportional to 989,100 and 1,541,432.25

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Solution

The third proportional to 989,100 and 1,541,432.25 is: 2,402,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,100 : 1,541,432.25 = 1,541,432.25 : x
  2. Step 2: Convert to fraction form
    989,100/1,541,432.25 = 1,541,432.25/x
  3. Step 3: Cross multiply
    989,100x = 1,541,432.25 × 1,541,432.25
  4. Step 4: Simplify right side
    989,100x = 2,376,013,381,340.06
  5. Step 5: Solve for x
    x = 2,376,013,381,340.06/989,100
  6. Step 6: Final answer
    x = 2,402,197.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.