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Finding the Third Proportional to 701,872 and 1,048,128

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Solution

The third proportional to 701,872 and 1,048,128 is: 1,565,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,872 : 1,048,128 = 1,048,128 : x
  2. Step 2: Convert to fraction form
    701,872/1,048,128 = 1,048,128/x
  3. Step 3: Cross multiply
    701,872x = 1,048,128 × 1,048,128
  4. Step 4: Simplify right side
    701,872x = 1,098,572,304,384
  5. Step 5: Solve for x
    x = 1,098,572,304,384/701,872
  6. Step 6: Final answer
    x = 1,565,203.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.