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Finding the Third Proportional to 2,979,666 and 4,612,838.63

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Solution

The third proportional to 2,979,666 and 4,612,838.63 is: 7,141,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979,666 : 4,612,838.63 = 4,612,838.63 : x
  2. Step 2: Convert to fraction form
    2,979,666/4,612,838.63 = 4,612,838.63/x
  3. Step 3: Cross multiply
    2,979,666x = 4,612,838.63 × 4,612,838.63
  4. Step 4: Simplify right side
    2,979,666x = 21,278,280,180,291.89
  5. Step 5: Solve for x
    x = 21,278,280,180,291.89/2,979,666
  6. Step 6: Final answer
    x = 7,141,162.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.