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Finding the Third Proportional to 900,583 and 1,266,634

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Solution

The third proportional to 900,583 and 1,266,634 is: 1,781,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,583 : 1,266,634 = 1,266,634 : x
  2. Step 2: Convert to fraction form
    900,583/1,266,634 = 1,266,634/x
  3. Step 3: Cross multiply
    900,583x = 1,266,634 × 1,266,634
  4. Step 4: Simplify right side
    900,583x = 1,604,361,689,956
  5. Step 5: Solve for x
    x = 1,604,361,689,956/900,583
  6. Step 6: Final answer
    x = 1,781,470.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.