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Finding the Third Proportional to 765,369 and 1,668,522

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Solution

The third proportional to 765,369 and 1,668,522 is: 3,637,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,369 : 1,668,522 = 1,668,522 : x
  2. Step 2: Convert to fraction form
    765,369/1,668,522 = 1,668,522/x
  3. Step 3: Cross multiply
    765,369x = 1,668,522 × 1,668,522
  4. Step 4: Simplify right side
    765,369x = 2,783,965,664,484
  5. Step 5: Solve for x
    x = 2,783,965,664,484/765,369
  6. Step 6: Final answer
    x = 3,637,416.28

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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.