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Finding the Third Proportional to 859,408 and 1,855,472

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Solution

The third proportional to 859,408 and 1,855,472 is: 4,005,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,408 : 1,855,472 = 1,855,472 : x
  2. Step 2: Convert to fraction form
    859,408/1,855,472 = 1,855,472/x
  3. Step 3: Cross multiply
    859,408x = 1,855,472 × 1,855,472
  4. Step 4: Simplify right side
    859,408x = 3,442,776,342,784
  5. Step 5: Solve for x
    x = 3,442,776,342,784/859,408
  6. Step 6: Final answer
    x = 4,005,985.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.