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Finding the Third Proportional to 700,374 and 1,365,756

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Solution

The third proportional to 700,374 and 1,365,756 is: 2,663,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,374 : 1,365,756 = 1,365,756 : x
  2. Step 2: Convert to fraction form
    700,374/1,365,756 = 1,365,756/x
  3. Step 3: Cross multiply
    700,374x = 1,365,756 × 1,365,756
  4. Step 4: Simplify right side
    700,374x = 1,865,289,451,536
  5. Step 5: Solve for x
    x = 1,865,289,451,536/700,374
  6. Step 6: Final answer
    x = 2,663,276.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.