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Finding the Third Proportional to 977,281 and 2,102,306

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Solution

The third proportional to 977,281 and 2,102,306 is: 4,522,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,281 : 2,102,306 = 2,102,306 : x
  2. Step 2: Convert to fraction form
    977,281/2,102,306 = 2,102,306/x
  3. Step 3: Cross multiply
    977,281x = 2,102,306 × 2,102,306
  4. Step 4: Simplify right side
    977,281x = 4,419,690,517,636
  5. Step 5: Solve for x
    x = 4,419,690,517,636/977,281
  6. Step 6: Final answer
    x = 4,522,435.74

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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.