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Finding the Third Proportional to 637,884 and 1,367,352

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Solution

The third proportional to 637,884 and 1,367,352 is: 2,931,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,884 : 1,367,352 = 1,367,352 : x
  2. Step 2: Convert to fraction form
    637,884/1,367,352 = 1,367,352/x
  3. Step 3: Cross multiply
    637,884x = 1,367,352 × 1,367,352
  4. Step 4: Simplify right side
    637,884x = 1,869,651,491,904
  5. Step 5: Solve for x
    x = 1,869,651,491,904/637,884
  6. Step 6: Final answer
    x = 2,931,021.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.