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Finding the Third Proportional to 765,966 and 1,212,312

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Solution

The third proportional to 765,966 and 1,212,312 is: 1,918,754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,966 : 1,212,312 = 1,212,312 : x
  2. Step 2: Convert to fraction form
    765,966/1,212,312 = 1,212,312/x
  3. Step 3: Cross multiply
    765,966x = 1,212,312 × 1,212,312
  4. Step 4: Simplify right side
    765,966x = 1,469,700,385,344
  5. Step 5: Solve for x
    x = 1,469,700,385,344/765,966
  6. Step 6: Final answer
    x = 1,918,754.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.