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Finding the Third Proportional to 975,496 and 2,129,744

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Solution

The third proportional to 975,496 and 2,129,744 is: 4,649,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,496 : 2,129,744 = 2,129,744 : x
  2. Step 2: Convert to fraction form
    975,496/2,129,744 = 2,129,744/x
  3. Step 3: Cross multiply
    975,496x = 2,129,744 × 2,129,744
  4. Step 4: Simplify right side
    975,496x = 4,535,809,505,536
  5. Step 5: Solve for x
    x = 4,535,809,505,536/975,496
  6. Step 6: Final answer
    x = 4,649,746.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.