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Finding the Third Proportional to 830,332.75 and 1,788,012.75

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Solution

The third proportional to 830,332.75 and 1,788,012.75 is: 3,850,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,332.75 : 1,788,012.75 = 1,788,012.75 : x
  2. Step 2: Convert to fraction form
    830,332.75/1,788,012.75 = 1,788,012.75/x
  3. Step 3: Cross multiply
    830,332.75x = 1,788,012.75 × 1,788,012.75
  4. Step 4: Simplify right side
    830,332.75x = 3,196,989,594,162.56
  5. Step 5: Solve for x
    x = 3,196,989,594,162.56/830,332.75
  6. Step 6: Final answer
    x = 3,850,251.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.