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Finding the Third Proportional to 1,527,160.50 and 3,015,771.75

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Solution

The third proportional to 1,527,160.50 and 3,015,771.75 is: 5,955,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,160.50 : 3,015,771.75 = 3,015,771.75 : x
  2. Step 2: Convert to fraction form
    1,527,160.50/3,015,771.75 = 3,015,771.75/x
  3. Step 3: Cross multiply
    1,527,160.50x = 3,015,771.75 × 3,015,771.75
  4. Step 4: Simplify right side
    1,527,160.50x = 9,094,879,248,098.06
  5. Step 5: Solve for x
    x = 9,094,879,248,098.06/1,527,160.50
  6. Step 6: Final answer
    x = 5,955,418.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.