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Finding the Third Proportional to 784,516 and 1,175,720

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Solution

The third proportional to 784,516 and 1,175,720 is: 1,762,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,516 : 1,175,720 = 1,175,720 : x
  2. Step 2: Convert to fraction form
    784,516/1,175,720 = 1,175,720/x
  3. Step 3: Cross multiply
    784,516x = 1,175,720 × 1,175,720
  4. Step 4: Simplify right side
    784,516x = 1,382,317,518,400
  5. Step 5: Solve for x
    x = 1,382,317,518,400/784,516
  6. Step 6: Final answer
    x = 1,762,000.42

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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.