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Finding the Third Proportional to 727,466 and 1,579,348

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Solution

The third proportional to 727,466 and 1,579,348 is: 3,428,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,466 : 1,579,348 = 1,579,348 : x
  2. Step 2: Convert to fraction form
    727,466/1,579,348 = 1,579,348/x
  3. Step 3: Cross multiply
    727,466x = 1,579,348 × 1,579,348
  4. Step 4: Simplify right side
    727,466x = 2,494,340,105,104
  5. Step 5: Solve for x
    x = 2,494,340,105,104/727,466
  6. Step 6: Final answer
    x = 3,428,806.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.