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Finding the Third Proportional to 627,340 and 946,854

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Solution

The third proportional to 627,340 and 946,854 is: 1,429,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,340 : 946,854 = 946,854 : x
  2. Step 2: Convert to fraction form
    627,340/946,854 = 946,854/x
  3. Step 3: Cross multiply
    627,340x = 946,854 × 946,854
  4. Step 4: Simplify right side
    627,340x = 896,532,497,316
  5. Step 5: Solve for x
    x = 896,532,497,316/627,340
  6. Step 6: Final answer
    x = 1,429,101.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.