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Finding the Third Proportional to 776,366 and 1,234,534

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Solution

The third proportional to 776,366 and 1,234,534 is: 1,963,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,366 : 1,234,534 = 1,234,534 : x
  2. Step 2: Convert to fraction form
    776,366/1,234,534 = 1,234,534/x
  3. Step 3: Cross multiply
    776,366x = 1,234,534 × 1,234,534
  4. Step 4: Simplify right side
    776,366x = 1,524,074,197,156
  5. Step 5: Solve for x
    x = 1,524,074,197,156/776,366
  6. Step 6: Final answer
    x = 1,963,087.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.