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Finding the Third Proportional to 822,536 and 1,120,566

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Solution

The third proportional to 822,536 and 1,120,566 is: 1,526,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,536 : 1,120,566 = 1,120,566 : x
  2. Step 2: Convert to fraction form
    822,536/1,120,566 = 1,120,566/x
  3. Step 3: Cross multiply
    822,536x = 1,120,566 × 1,120,566
  4. Step 4: Simplify right side
    822,536x = 1,255,668,160,356
  5. Step 5: Solve for x
    x = 1,255,668,160,356/822,536
  6. Step 6: Final answer
    x = 1,526,581.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.