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Finding the Third Proportional to 1,065,730 and 2,229,988

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Solution

The third proportional to 1,065,730 and 2,229,988 is: 4,666,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,730 : 2,229,988 = 2,229,988 : x
  2. Step 2: Convert to fraction form
    1,065,730/2,229,988 = 2,229,988/x
  3. Step 3: Cross multiply
    1,065,730x = 2,229,988 × 2,229,988
  4. Step 4: Simplify right side
    1,065,730x = 4,972,846,480,144
  5. Step 5: Solve for x
    x = 4,972,846,480,144/1,065,730
  6. Step 6: Final answer
    x = 4,666,141.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.