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Finding the Third Proportional to 979,398 and 1,497,240

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Solution

The third proportional to 979,398 and 1,497,240 is: 2,288,883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,398 : 1,497,240 = 1,497,240 : x
  2. Step 2: Convert to fraction form
    979,398/1,497,240 = 1,497,240/x
  3. Step 3: Cross multiply
    979,398x = 1,497,240 × 1,497,240
  4. Step 4: Simplify right side
    979,398x = 2,241,727,617,600
  5. Step 5: Solve for x
    x = 2,241,727,617,600/979,398
  6. Step 6: Final answer
    x = 2,288,883.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.