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Finding the Third Proportional to 742,668 and 1,585,560

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Solution

The third proportional to 742,668 and 1,585,560 is: 3,385,093.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,668 : 1,585,560 = 1,585,560 : x
  2. Step 2: Convert to fraction form
    742,668/1,585,560 = 1,585,560/x
  3. Step 3: Cross multiply
    742,668x = 1,585,560 × 1,585,560
  4. Step 4: Simplify right side
    742,668x = 2,514,000,513,600
  5. Step 5: Solve for x
    x = 2,514,000,513,600/742,668
  6. Step 6: Final answer
    x = 3,385,093.36

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Why These Related Problems?

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