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Finding the Third Proportional to 982,382 and 1,521,525

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Solution

The third proportional to 982,382 and 1,521,525 is: 2,356,556.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,382 : 1,521,525 = 1,521,525 : x
  2. Step 2: Convert to fraction form
    982,382/1,521,525 = 1,521,525/x
  3. Step 3: Cross multiply
    982,382x = 1,521,525 × 1,521,525
  4. Step 4: Simplify right side
    982,382x = 2,315,038,325,625
  5. Step 5: Solve for x
    x = 2,315,038,325,625/982,382
  6. Step 6: Final answer
    x = 2,356,556.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.