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Finding the Third Proportional to 999,711 and 1,548,409.50

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Solution

The third proportional to 999,711 and 1,548,409.50 is: 2,398,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,711 : 1,548,409.50 = 1,548,409.50 : x
  2. Step 2: Convert to fraction form
    999,711/1,548,409.50 = 1,548,409.50/x
  3. Step 3: Cross multiply
    999,711x = 1,548,409.50 × 1,548,409.50
  4. Step 4: Simplify right side
    999,711x = 2,397,571,979,690.25
  5. Step 5: Solve for x
    x = 2,397,571,979,690.25/999,711
  6. Step 6: Final answer
    x = 2,398,265.08

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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.