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Finding the Third Proportional to 999,713 and 1,548,413

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Solution

The third proportional to 999,713 and 1,548,413 is: 2,398,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,713 : 1,548,413 = 1,548,413 : x
  2. Step 2: Convert to fraction form
    999,713/1,548,413 = 1,548,413/x
  3. Step 3: Cross multiply
    999,713x = 1,548,413 × 1,548,413
  4. Step 4: Simplify right side
    999,713x = 2,397,582,818,569
  5. Step 5: Solve for x
    x = 2,397,582,818,569/999,713
  6. Step 6: Final answer
    x = 2,398,271.12

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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.