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Finding the Third Proportional to 676,544 and 1,487,006

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Solution

The third proportional to 676,544 and 1,487,006 is: 3,268,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,544 : 1,487,006 = 1,487,006 : x
  2. Step 2: Convert to fraction form
    676,544/1,487,006 = 1,487,006/x
  3. Step 3: Cross multiply
    676,544x = 1,487,006 × 1,487,006
  4. Step 4: Simplify right side
    676,544x = 2,211,186,844,036
  5. Step 5: Solve for x
    x = 2,211,186,844,036/676,544
  6. Step 6: Final answer
    x = 3,268,356.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.