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Finding the Third Proportional to 1,972,947 and 4,239,597

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Solution

The third proportional to 1,972,947 and 4,239,597 is: 9,110,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,947 : 4,239,597 = 4,239,597 : x
  2. Step 2: Convert to fraction form
    1,972,947/4,239,597 = 4,239,597/x
  3. Step 3: Cross multiply
    1,972,947x = 4,239,597 × 4,239,597
  4. Step 4: Simplify right side
    1,972,947x = 17,974,182,722,409
  5. Step 5: Solve for x
    x = 17,974,182,722,409/1,972,947
  6. Step 6: Final answer
    x = 9,110,322.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.