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Finding the Third Proportional to 807,633 and 1,245,145.50

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Solution

The third proportional to 807,633 and 1,245,145.50 is: 1,919,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,633 : 1,245,145.50 = 1,245,145.50 : x
  2. Step 2: Convert to fraction form
    807,633/1,245,145.50 = 1,245,145.50/x
  3. Step 3: Cross multiply
    807,633x = 1,245,145.50 × 1,245,145.50
  4. Step 4: Simplify right side
    807,633x = 1,550,387,316,170.25
  5. Step 5: Solve for x
    x = 1,550,387,316,170.25/807,633
  6. Step 6: Final answer
    x = 1,919,668.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.