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Finding the Third Proportional to 997,569 and 2,074,747

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Solution

The third proportional to 997,569 and 2,074,747 is: 4,315,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,569 : 2,074,747 = 2,074,747 : x
  2. Step 2: Convert to fraction form
    997,569/2,074,747 = 2,074,747/x
  3. Step 3: Cross multiply
    997,569x = 2,074,747 × 2,074,747
  4. Step 4: Simplify right side
    997,569x = 4,304,575,114,009
  5. Step 5: Solve for x
    x = 4,304,575,114,009/997,569
  6. Step 6: Final answer
    x = 4,315,065.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.