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Finding the Third Proportional to 742,080 and 1,626,189

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Solution

The third proportional to 742,080 and 1,626,189 is: 3,563,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,080 : 1,626,189 = 1,626,189 : x
  2. Step 2: Convert to fraction form
    742,080/1,626,189 = 1,626,189/x
  3. Step 3: Cross multiply
    742,080x = 1,626,189 × 1,626,189
  4. Step 4: Simplify right side
    742,080x = 2,644,490,663,721
  5. Step 5: Solve for x
    x = 2,644,490,663,721/742,080
  6. Step 6: Final answer
    x = 3,563,619.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.