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Finding the Third Proportional to 742,578 and 1,195,659

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Solution

The third proportional to 742,578 and 1,195,659 is: 1,925,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,578 : 1,195,659 = 1,195,659 : x
  2. Step 2: Convert to fraction form
    742,578/1,195,659 = 1,195,659/x
  3. Step 3: Cross multiply
    742,578x = 1,195,659 × 1,195,659
  4. Step 4: Simplify right side
    742,578x = 1,429,600,444,281
  5. Step 5: Solve for x
    x = 1,429,600,444,281/742,578
  6. Step 6: Final answer
    x = 1,925,185.56

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.