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Finding the Third Proportional to 2,957,779 and 4,761,946.50

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Solution

The third proportional to 2,957,779 and 4,761,946.50 is: 7,666,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957,779 : 4,761,946.50 = 4,761,946.50 : x
  2. Step 2: Convert to fraction form
    2,957,779/4,761,946.50 = 4,761,946.50/x
  3. Step 3: Cross multiply
    2,957,779x = 4,761,946.50 × 4,761,946.50
  4. Step 4: Simplify right side
    2,957,779x = 22,676,134,468,862.25
  5. Step 5: Solve for x
    x = 22,676,134,468,862.25/2,957,779
  6. Step 6: Final answer
    x = 7,666,608.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.