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Finding the Third Proportional to 579,368 and 1,211,683

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Solution

The third proportional to 579,368 and 1,211,683 is: 2,534,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,368 : 1,211,683 = 1,211,683 : x
  2. Step 2: Convert to fraction form
    579,368/1,211,683 = 1,211,683/x
  3. Step 3: Cross multiply
    579,368x = 1,211,683 × 1,211,683
  4. Step 4: Simplify right side
    579,368x = 1,468,175,692,489
  5. Step 5: Solve for x
    x = 1,468,175,692,489/579,368
  6. Step 6: Final answer
    x = 2,534,098.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.