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Finding the Third Proportional to 830,843.50 and 1,807,487

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Solution

The third proportional to 830,843.50 and 1,807,487 is: 3,932,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,843.50 : 1,807,487 = 1,807,487 : x
  2. Step 2: Convert to fraction form
    830,843.50/1,807,487 = 1,807,487/x
  3. Step 3: Cross multiply
    830,843.50x = 1,807,487 × 1,807,487
  4. Step 4: Simplify right side
    830,843.50x = 3,267,009,255,169
  5. Step 5: Solve for x
    x = 3,267,009,255,169/830,843.50
  6. Step 6: Final answer
    x = 3,932,159.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.