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Finding the Third Proportional to 811,510 and 1,187,217

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Solution

The third proportional to 811,510 and 1,187,217 is: 1,736,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,510 : 1,187,217 = 1,187,217 : x
  2. Step 2: Convert to fraction form
    811,510/1,187,217 = 1,187,217/x
  3. Step 3: Cross multiply
    811,510x = 1,187,217 × 1,187,217
  4. Step 4: Simplify right side
    811,510x = 1,409,484,205,089
  5. Step 5: Solve for x
    x = 1,409,484,205,089/811,510
  6. Step 6: Final answer
    x = 1,736,866.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.