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Finding the Third Proportional to 757,758 and 1,170,411

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Solution

The third proportional to 757,758 and 1,170,411 is: 1,807,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,758 : 1,170,411 = 1,170,411 : x
  2. Step 2: Convert to fraction form
    757,758/1,170,411 = 1,170,411/x
  3. Step 3: Cross multiply
    757,758x = 1,170,411 × 1,170,411
  4. Step 4: Simplify right side
    757,758x = 1,369,861,908,921
  5. Step 5: Solve for x
    x = 1,369,861,908,921/757,758
  6. Step 6: Final answer
    x = 1,807,782.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.