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Finding the Third Proportional to 898,961 and 1,931,329

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Solution

The third proportional to 898,961 and 1,931,329 is: 4,149,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,961 : 1,931,329 = 1,931,329 : x
  2. Step 2: Convert to fraction form
    898,961/1,931,329 = 1,931,329/x
  3. Step 3: Cross multiply
    898,961x = 1,931,329 × 1,931,329
  4. Step 4: Simplify right side
    898,961x = 3,730,031,706,241
  5. Step 5: Solve for x
    x = 3,730,031,706,241/898,961
  6. Step 6: Final answer
    x = 4,149,269.78

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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.