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Finding the Third Proportional to 814,706 and 1,232,544

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Solution

The third proportional to 814,706 and 1,232,544 is: 1,864,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,706 : 1,232,544 = 1,232,544 : x
  2. Step 2: Convert to fraction form
    814,706/1,232,544 = 1,232,544/x
  3. Step 3: Cross multiply
    814,706x = 1,232,544 × 1,232,544
  4. Step 4: Simplify right side
    814,706x = 1,519,164,711,936
  5. Step 5: Solve for x
    x = 1,519,164,711,936/814,706
  6. Step 6: Final answer
    x = 1,864,678.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.