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Finding the Third Proportional to 975,472 and 2,129,696

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Solution

The third proportional to 975,472 and 2,129,696 is: 4,649,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,472 : 2,129,696 = 2,129,696 : x
  2. Step 2: Convert to fraction form
    975,472/2,129,696 = 2,129,696/x
  3. Step 3: Cross multiply
    975,472x = 2,129,696 × 2,129,696
  4. Step 4: Simplify right side
    975,472x = 4,535,605,052,416
  5. Step 5: Solve for x
    x = 4,535,605,052,416/975,472
  6. Step 6: Final answer
    x = 4,649,651.71

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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.