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Finding the Third Proportional to 699,921 and 1,444,006.50

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Solution

The third proportional to 699,921 and 1,444,006.50 is: 2,979,128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,921 : 1,444,006.50 = 1,444,006.50 : x
  2. Step 2: Convert to fraction form
    699,921/1,444,006.50 = 1,444,006.50/x
  3. Step 3: Cross multiply
    699,921x = 1,444,006.50 × 1,444,006.50
  4. Step 4: Simplify right side
    699,921x = 2,085,154,772,042.25
  5. Step 5: Solve for x
    x = 2,085,154,772,042.25/699,921
  6. Step 6: Final answer
    x = 2,979,128.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.