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Finding the Third Proportional to 927,297 and 1,977,079

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Solution

The third proportional to 927,297 and 1,977,079 is: 4,215,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,297 : 1,977,079 = 1,977,079 : x
  2. Step 2: Convert to fraction form
    927,297/1,977,079 = 1,977,079/x
  3. Step 3: Cross multiply
    927,297x = 1,977,079 × 1,977,079
  4. Step 4: Simplify right side
    927,297x = 3,908,841,372,241
  5. Step 5: Solve for x
    x = 3,908,841,372,241/927,297
  6. Step 6: Final answer
    x = 4,215,306.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.