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Finding the Third Proportional to 776,262 and 1,234,378

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Solution

The third proportional to 776,262 and 1,234,378 is: 1,962,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,262 : 1,234,378 = 1,234,378 : x
  2. Step 2: Convert to fraction form
    776,262/1,234,378 = 1,234,378/x
  3. Step 3: Cross multiply
    776,262x = 1,234,378 × 1,234,378
  4. Step 4: Simplify right side
    776,262x = 1,523,689,046,884
  5. Step 5: Solve for x
    x = 1,523,689,046,884/776,262
  6. Step 6: Final answer
    x = 1,962,854.10

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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.