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Finding the Third Proportional to 1,117,957.50 and 1,580,382

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Solution

The third proportional to 1,117,957.50 and 1,580,382 is: 2,234,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117,957.50 : 1,580,382 = 1,580,382 : x
  2. Step 2: Convert to fraction form
    1,117,957.50/1,580,382 = 1,580,382/x
  3. Step 3: Cross multiply
    1,117,957.50x = 1,580,382 × 1,580,382
  4. Step 4: Simplify right side
    1,117,957.50x = 2,497,607,265,924
  5. Step 5: Solve for x
    x = 2,497,607,265,924/1,117,957.50
  6. Step 6: Final answer
    x = 2,234,080.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.