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Finding the Third Proportional to 637,891 and 1,367,365

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Solution

The third proportional to 637,891 and 1,367,365 is: 2,931,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,891 : 1,367,365 = 1,367,365 : x
  2. Step 2: Convert to fraction form
    637,891/1,367,365 = 1,367,365/x
  3. Step 3: Cross multiply
    637,891x = 1,367,365 × 1,367,365
  4. Step 4: Simplify right side
    637,891x = 1,869,687,043,225
  5. Step 5: Solve for x
    x = 1,869,687,043,225/637,891
  6. Step 6: Final answer
    x = 2,931,044.71

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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.