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Finding the Third Proportional to 410,776 and 888,944

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Solution

The third proportional to 410,776 and 888,944 is: 1,923,728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,776 : 888,944 = 888,944 : x
  2. Step 2: Convert to fraction form
    410,776/888,944 = 888,944/x
  3. Step 3: Cross multiply
    410,776x = 888,944 × 888,944
  4. Step 4: Simplify right side
    410,776x = 790,221,435,136
  5. Step 5: Solve for x
    x = 790,221,435,136/410,776
  6. Step 6: Final answer
    x = 1,923,728.35

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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.