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Finding the Third Proportional to 997,517 and 1,506,752

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Solution

The third proportional to 997,517 and 1,506,752 is: 2,275,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,517 : 1,506,752 = 1,506,752 : x
  2. Step 2: Convert to fraction form
    997,517/1,506,752 = 1,506,752/x
  3. Step 3: Cross multiply
    997,517x = 1,506,752 × 1,506,752
  4. Step 4: Simplify right side
    997,517x = 2,270,301,589,504
  5. Step 5: Solve for x
    x = 2,270,301,589,504/997,517
  6. Step 6: Final answer
    x = 2,275,952.78

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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.