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Finding the Third Proportional to 765,366 and 1,668,516

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Solution

The third proportional to 765,366 and 1,668,516 is: 3,637,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,366 : 1,668,516 = 1,668,516 : x
  2. Step 2: Convert to fraction form
    765,366/1,668,516 = 1,668,516/x
  3. Step 3: Cross multiply
    765,366x = 1,668,516 × 1,668,516
  4. Step 4: Simplify right side
    765,366x = 2,783,945,642,256
  5. Step 5: Solve for x
    x = 2,783,945,642,256/765,366
  6. Step 6: Final answer
    x = 3,637,404.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.