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Finding the Third Proportional to 765,216 and 1,668,213

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Solution

The third proportional to 765,216 and 1,668,213 is: 3,636,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,216 : 1,668,213 = 1,668,213 : x
  2. Step 2: Convert to fraction form
    765,216/1,668,213 = 1,668,213/x
  3. Step 3: Cross multiply
    765,216x = 1,668,213 × 1,668,213
  4. Step 4: Simplify right side
    765,216x = 2,782,934,613,369
  5. Step 5: Solve for x
    x = 2,782,934,613,369/765,216
  6. Step 6: Final answer
    x = 3,636,796.16

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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.