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Finding the Third Proportional to 2,957,596 and 4,761,696

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Solution

The third proportional to 2,957,596 and 4,761,696 is: 7,666,276.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957,596 : 4,761,696 = 4,761,696 : x
  2. Step 2: Convert to fraction form
    2,957,596/4,761,696 = 4,761,696/x
  3. Step 3: Cross multiply
    2,957,596x = 4,761,696 × 4,761,696
  4. Step 4: Simplify right side
    2,957,596x = 22,673,748,796,416
  5. Step 5: Solve for x
    x = 22,673,748,796,416/2,957,596
  6. Step 6: Final answer
    x = 7,666,276.53

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