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Finding the Third Proportional to 997,518 and 1,506,753

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Solution

The third proportional to 997,518 and 1,506,753 is: 2,275,953.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,518 : 1,506,753 = 1,506,753 : x
  2. Step 2: Convert to fraction form
    997,518/1,506,753 = 1,506,753/x
  3. Step 3: Cross multiply
    997,518x = 1,506,753 × 1,506,753
  4. Step 4: Simplify right side
    997,518x = 2,270,304,603,009
  5. Step 5: Solve for x
    x = 2,270,304,603,009/997,518
  6. Step 6: Final answer
    x = 2,275,953.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.