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Finding the Third Proportional to 742,584 and 1,195,668

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Solution

The third proportional to 742,584 and 1,195,668 is: 1,925,198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,584 : 1,195,668 = 1,195,668 : x
  2. Step 2: Convert to fraction form
    742,584/1,195,668 = 1,195,668/x
  3. Step 3: Cross multiply
    742,584x = 1,195,668 × 1,195,668
  4. Step 4: Simplify right side
    742,584x = 1,429,621,966,224
  5. Step 5: Solve for x
    x = 1,429,621,966,224/742,584
  6. Step 6: Final answer
    x = 1,925,198.99

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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.