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Finding the Third Proportional to 648,960 and 1,000,128

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Solution

The third proportional to 648,960 and 1,000,128 is: 1,541,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,960 : 1,000,128 = 1,000,128 : x
  2. Step 2: Convert to fraction form
    648,960/1,000,128 = 1,000,128/x
  3. Step 3: Cross multiply
    648,960x = 1,000,128 × 1,000,128
  4. Step 4: Simplify right side
    648,960x = 1,000,256,016,384
  5. Step 5: Solve for x
    x = 1,000,256,016,384/648,960
  6. Step 6: Final answer
    x = 1,541,321.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.