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Finding the Third Proportional to 869,408 and 1,843,488

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Solution

The third proportional to 869,408 and 1,843,488 is: 3,908,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,408 : 1,843,488 = 1,843,488 : x
  2. Step 2: Convert to fraction form
    869,408/1,843,488 = 1,843,488/x
  3. Step 3: Cross multiply
    869,408x = 1,843,488 × 1,843,488
  4. Step 4: Simplify right side
    869,408x = 3,398,448,006,144
  5. Step 5: Solve for x
    x = 3,398,448,006,144/869,408
  6. Step 6: Final answer
    x = 3,908,921.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.