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Finding the Third Proportional to 1,972,706 and 4,310,641

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Solution

The third proportional to 1,972,706 and 4,310,641 is: 9,419,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,706 : 4,310,641 = 4,310,641 : x
  2. Step 2: Convert to fraction form
    1,972,706/4,310,641 = 4,310,641/x
  3. Step 3: Cross multiply
    1,972,706x = 4,310,641 × 4,310,641
  4. Step 4: Simplify right side
    1,972,706x = 18,581,625,830,881
  5. Step 5: Solve for x
    x = 18,581,625,830,881/1,972,706
  6. Step 6: Final answer
    x = 9,419,358.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.