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Finding the Third Proportional to 1,758,051 and 2,642,517

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Solution

The third proportional to 1,758,051 and 2,642,517 is: 3,971,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758,051 : 2,642,517 = 2,642,517 : x
  2. Step 2: Convert to fraction form
    1,758,051/2,642,517 = 2,642,517/x
  3. Step 3: Cross multiply
    1,758,051x = 2,642,517 × 2,642,517
  4. Step 4: Simplify right side
    1,758,051x = 6,982,896,095,289
  5. Step 5: Solve for x
    x = 6,982,896,095,289/1,758,051
  6. Step 6: Final answer
    x = 3,971,953.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.