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Finding the Third Proportional to 641,504 and 896,862

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Solution

The third proportional to 641,504 and 896,862 is: 1,253,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,504 : 896,862 = 896,862 : x
  2. Step 2: Convert to fraction form
    641,504/896,862 = 896,862/x
  3. Step 3: Cross multiply
    641,504x = 896,862 × 896,862
  4. Step 4: Simplify right side
    641,504x = 804,361,447,044
  5. Step 5: Solve for x
    x = 804,361,447,044/641,504
  6. Step 6: Final answer
    x = 1,253,868.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.