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Finding the Third Proportional to 760,524 and 1,641,624

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Solution

The third proportional to 760,524 and 1,641,624 is: 3,543,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,524 : 1,641,624 = 1,641,624 : x
  2. Step 2: Convert to fraction form
    760,524/1,641,624 = 1,641,624/x
  3. Step 3: Cross multiply
    760,524x = 1,641,624 × 1,641,624
  4. Step 4: Simplify right side
    760,524x = 2,694,929,357,376
  5. Step 5: Solve for x
    x = 2,694,929,357,376/760,524
  6. Step 6: Final answer
    x = 3,543,516.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.