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Finding the Third Proportional to 784,861 and 1,177,293

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Solution

The third proportional to 784,861 and 1,177,293 is: 1,765,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,861 : 1,177,293 = 1,177,293 : x
  2. Step 2: Convert to fraction form
    784,861/1,177,293 = 1,177,293/x
  3. Step 3: Cross multiply
    784,861x = 1,177,293 × 1,177,293
  4. Step 4: Simplify right side
    784,861x = 1,386,018,807,849
  5. Step 5: Solve for x
    x = 1,386,018,807,849/784,861
  6. Step 6: Final answer
    x = 1,765,941.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.