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Finding the Third Proportional to 764,160 and 1,566,624

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Solution

The third proportional to 764,160 and 1,566,624 is: 3,211,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,160 : 1,566,624 = 1,566,624 : x
  2. Step 2: Convert to fraction form
    764,160/1,566,624 = 1,566,624/x
  3. Step 3: Cross multiply
    764,160x = 1,566,624 × 1,566,624
  4. Step 4: Simplify right side
    764,160x = 2,454,310,757,376
  5. Step 5: Solve for x
    x = 2,454,310,757,376/764,160
  6. Step 6: Final answer
    x = 3,211,776.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.