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Finding the Third Proportional to 1,182,321.56 and 1,684,893.66

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Solution

The third proportional to 1,182,321.56 and 1,684,893.66 is: 2,401,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,321.56 : 1,684,893.66 = 1,684,893.66 : x
  2. Step 2: Convert to fraction form
    1,182,321.56/1,684,893.66 = 1,684,893.66/x
  3. Step 3: Cross multiply
    1,182,321.56x = 1,684,893.66 × 1,684,893.66
  4. Step 4: Simplify right side
    1,182,321.56x = 2,838,866,632,871.49
  5. Step 5: Solve for x
    x = 2,838,866,632,871.49/1,182,321.56
  6. Step 6: Final answer
    x = 2,401,095.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.