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Finding the Third Proportional to 765,210.80 and 1,668,202.59

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Solution

The third proportional to 765,210.80 and 1,668,202.59 is: 3,636,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,210.80 : 1,668,202.59 = 1,668,202.59 : x
  2. Step 2: Convert to fraction form
    765,210.80/1,668,202.59 = 1,668,202.59/x
  3. Step 3: Cross multiply
    765,210.80x = 1,668,202.59 × 1,668,202.59
  4. Step 4: Simplify right side
    765,210.80x = 2,782,899,893,794.23
  5. Step 5: Solve for x
    x = 2,782,899,893,794.23/765,210.80
  6. Step 6: Final answer
    x = 3,636,775.52

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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.