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Finding the Third Proportional to 2,182,941 and 4,592,091

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Solution

The third proportional to 2,182,941 and 4,592,091 is: 9,660,041.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,941 : 4,592,091 = 4,592,091 : x
  2. Step 2: Convert to fraction form
    2,182,941/4,592,091 = 4,592,091/x
  3. Step 3: Cross multiply
    2,182,941x = 4,592,091 × 4,592,091
  4. Step 4: Simplify right side
    2,182,941x = 21,087,299,752,281
  5. Step 5: Solve for x
    x = 21,087,299,752,281/2,182,941
  6. Step 6: Final answer
    x = 9,660,041.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.