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Finding the Third Proportional to 765,844 and 1,073,203

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Solution

The third proportional to 765,844 and 1,073,203 is: 1,503,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,844 : 1,073,203 = 1,073,203 : x
  2. Step 2: Convert to fraction form
    765,844/1,073,203 = 1,073,203/x
  3. Step 3: Cross multiply
    765,844x = 1,073,203 × 1,073,203
  4. Step 4: Simplify right side
    765,844x = 1,151,764,679,209
  5. Step 5: Solve for x
    x = 1,151,764,679,209/765,844
  6. Step 6: Final answer
    x = 1,503,915.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.