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Finding the Third Proportional to 1,591,776 and 2,468,376

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Solution

The third proportional to 1,591,776 and 2,468,376 is: 3,827,724.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591,776 : 2,468,376 = 2,468,376 : x
  2. Step 2: Convert to fraction form
    1,591,776/2,468,376 = 2,468,376/x
  3. Step 3: Cross multiply
    1,591,776x = 2,468,376 × 2,468,376
  4. Step 4: Simplify right side
    1,591,776x = 6,092,880,077,376
  5. Step 5: Solve for x
    x = 6,092,880,077,376/1,591,776
  6. Step 6: Final answer
    x = 3,827,724.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.