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Finding the Third Proportional to 439,535 and 902,371

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Solution

The third proportional to 439,535 and 902,371 is: 1,852,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,535 : 902,371 = 902,371 : x
  2. Step 2: Convert to fraction form
    439,535/902,371 = 902,371/x
  3. Step 3: Cross multiply
    439,535x = 902,371 × 902,371
  4. Step 4: Simplify right side
    439,535x = 814,273,421,641
  5. Step 5: Solve for x
    x = 814,273,421,641/439,535
  6. Step 6: Final answer
    x = 1,852,579.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.