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Finding the Third Proportional to 672,744 and 1,038,861

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Solution

The third proportional to 672,744 and 1,038,861 is: 1,604,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,744 : 1,038,861 = 1,038,861 : x
  2. Step 2: Convert to fraction form
    672,744/1,038,861 = 1,038,861/x
  3. Step 3: Cross multiply
    672,744x = 1,038,861 × 1,038,861
  4. Step 4: Simplify right side
    672,744x = 1,079,232,177,321
  5. Step 5: Solve for x
    x = 1,079,232,177,321/672,744
  6. Step 6: Final answer
    x = 1,604,224.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.