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Finding the Third Proportional to 602,424 and 1,298,156

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Solution

The third proportional to 602,424 and 1,298,156 is: 2,797,380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,424 : 1,298,156 = 1,298,156 : x
  2. Step 2: Convert to fraction form
    602,424/1,298,156 = 1,298,156/x
  3. Step 3: Cross multiply
    602,424x = 1,298,156 × 1,298,156
  4. Step 4: Simplify right side
    602,424x = 1,685,209,000,336
  5. Step 5: Solve for x
    x = 1,685,209,000,336/602,424
  6. Step 6: Final answer
    x = 2,797,380.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.