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Finding the Third Proportional to 2,574,856 and 3,895,424

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Solution

The third proportional to 2,574,856 and 3,895,424 is: 5,893,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574,856 : 3,895,424 = 3,895,424 : x
  2. Step 2: Convert to fraction form
    2,574,856/3,895,424 = 3,895,424/x
  3. Step 3: Cross multiply
    2,574,856x = 3,895,424 × 3,895,424
  4. Step 4: Simplify right side
    2,574,856x = 15,174,328,139,776
  5. Step 5: Solve for x
    x = 15,174,328,139,776/2,574,856
  6. Step 6: Final answer
    x = 5,893,272.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.