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Finding the Third Proportional to 813,561 and 1,782,210

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Solution

The third proportional to 813,561 and 1,782,210 is: 3,904,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,561 : 1,782,210 = 1,782,210 : x
  2. Step 2: Convert to fraction form
    813,561/1,782,210 = 1,782,210/x
  3. Step 3: Cross multiply
    813,561x = 1,782,210 × 1,782,210
  4. Step 4: Simplify right side
    813,561x = 3,176,272,484,100
  5. Step 5: Solve for x
    x = 3,176,272,484,100/813,561
  6. Step 6: Final answer
    x = 3,904,160.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.