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Finding the Third Proportional to 742,692 and 1,585,608

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Solution

The third proportional to 742,692 and 1,585,608 is: 3,385,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,692 : 1,585,608 = 1,585,608 : x
  2. Step 2: Convert to fraction form
    742,692/1,585,608 = 1,585,608/x
  3. Step 3: Cross multiply
    742,692x = 1,585,608 × 1,585,608
  4. Step 4: Simplify right side
    742,692x = 2,514,152,729,664
  5. Step 5: Solve for x
    x = 2,514,152,729,664/742,692
  6. Step 6: Final answer
    x = 3,385,188.92

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.