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Finding the Third Proportional to 776,376 and 1,234,546

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Solution

The third proportional to 776,376 and 1,234,546 is: 1,963,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,376 : 1,234,546 = 1,234,546 : x
  2. Step 2: Convert to fraction form
    776,376/1,234,546 = 1,234,546/x
  3. Step 3: Cross multiply
    776,376x = 1,234,546 × 1,234,546
  4. Step 4: Simplify right side
    776,376x = 1,524,103,826,116
  5. Step 5: Solve for x
    x = 1,524,103,826,116/776,376
  6. Step 6: Final answer
    x = 1,963,100.13

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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.