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Finding the Third Proportional to 1,461,565 and 3,188,725

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Solution

The third proportional to 1,461,565 and 3,188,725 is: 6,956,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,565 : 3,188,725 = 3,188,725 : x
  2. Step 2: Convert to fraction form
    1,461,565/3,188,725 = 3,188,725/x
  3. Step 3: Cross multiply
    1,461,565x = 3,188,725 × 3,188,725
  4. Step 4: Simplify right side
    1,461,565x = 10,167,967,125,625
  5. Step 5: Solve for x
    x = 10,167,967,125,625/1,461,565
  6. Step 6: Final answer
    x = 6,956,903.82

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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.