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Finding the Third Proportional to 633,103 and 1,386,277

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Solution

The third proportional to 633,103 and 1,386,277 is: 3,035,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,103 : 1,386,277 = 1,386,277 : x
  2. Step 2: Convert to fraction form
    633,103/1,386,277 = 1,386,277/x
  3. Step 3: Cross multiply
    633,103x = 1,386,277 × 1,386,277
  4. Step 4: Simplify right side
    633,103x = 1,921,763,920,729
  5. Step 5: Solve for x
    x = 1,921,763,920,729/633,103
  6. Step 6: Final answer
    x = 3,035,468.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.