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Finding the Third Proportional to 489,642 and 1,038,068

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Solution

The third proportional to 489,642 and 1,038,068 is: 2,200,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,642 : 1,038,068 = 1,038,068 : x
  2. Step 2: Convert to fraction form
    489,642/1,038,068 = 1,038,068/x
  3. Step 3: Cross multiply
    489,642x = 1,038,068 × 1,038,068
  4. Step 4: Simplify right side
    489,642x = 1,077,585,172,624
  5. Step 5: Solve for x
    x = 1,077,585,172,624/489,642
  6. Step 6: Final answer
    x = 2,200,761.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.