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Finding the Third Proportional to 816,564 and 1,225,660

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Solution

The third proportional to 816,564 and 1,225,660 is: 1,839,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,564 : 1,225,660 = 1,225,660 : x
  2. Step 2: Convert to fraction form
    816,564/1,225,660 = 1,225,660/x
  3. Step 3: Cross multiply
    816,564x = 1,225,660 × 1,225,660
  4. Step 4: Simplify right side
    816,564x = 1,502,242,435,600
  5. Step 5: Solve for x
    x = 1,502,242,435,600/816,564
  6. Step 6: Final answer
    x = 1,839,711.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.