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Finding the Third Proportional to 808,566 and 1,264,617

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Solution

The third proportional to 808,566 and 1,264,617 is: 1,977,891.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,566 : 1,264,617 = 1,264,617 : x
  2. Step 2: Convert to fraction form
    808,566/1,264,617 = 1,264,617/x
  3. Step 3: Cross multiply
    808,566x = 1,264,617 × 1,264,617
  4. Step 4: Simplify right side
    808,566x = 1,599,256,156,689
  5. Step 5: Solve for x
    x = 1,599,256,156,689/808,566
  6. Step 6: Final answer
    x = 1,977,891.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.