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Finding the Third Proportional to 822,574 and 1,120,617

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Solution

The third proportional to 822,574 and 1,120,617 is: 1,526,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,574 : 1,120,617 = 1,120,617 : x
  2. Step 2: Convert to fraction form
    822,574/1,120,617 = 1,120,617/x
  3. Step 3: Cross multiply
    822,574x = 1,120,617 × 1,120,617
  4. Step 4: Simplify right side
    822,574x = 1,255,782,460,689
  5. Step 5: Solve for x
    x = 1,255,782,460,689/822,574
  6. Step 6: Final answer
    x = 1,526,649.83

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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.