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Finding the Third Proportional to 671,584 and 1,461,320

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Solution

The third proportional to 671,584 and 1,461,320 is: 3,179,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,584 : 1,461,320 = 1,461,320 : x
  2. Step 2: Convert to fraction form
    671,584/1,461,320 = 1,461,320/x
  3. Step 3: Cross multiply
    671,584x = 1,461,320 × 1,461,320
  4. Step 4: Simplify right side
    671,584x = 2,135,456,142,400
  5. Step 5: Solve for x
    x = 2,135,456,142,400/671,584
  6. Step 6: Final answer
    x = 3,179,730.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.