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Finding the Third Proportional to 424,644 and 928,044

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Solution

The third proportional to 424,644 and 928,044 is: 2,028,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,644 : 928,044 = 928,044 : x
  2. Step 2: Convert to fraction form
    424,644/928,044 = 928,044/x
  3. Step 3: Cross multiply
    424,644x = 928,044 × 928,044
  4. Step 4: Simplify right side
    424,644x = 861,265,665,936
  5. Step 5: Solve for x
    x = 861,265,665,936/424,644
  6. Step 6: Final answer
    x = 2,028,206.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.