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Finding the Third Proportional to 742,672 and 1,585,568

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Solution

The third proportional to 742,672 and 1,585,568 is: 3,385,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,672 : 1,585,568 = 1,585,568 : x
  2. Step 2: Convert to fraction form
    742,672/1,585,568 = 1,585,568/x
  3. Step 3: Cross multiply
    742,672x = 1,585,568 × 1,585,568
  4. Step 4: Simplify right side
    742,672x = 2,514,025,882,624
  5. Step 5: Solve for x
    x = 2,514,025,882,624/742,672
  6. Step 6: Final answer
    x = 3,385,109.28

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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.