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Finding the Third Proportional to 1,182,520 and 1,826,973

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Solution

The third proportional to 1,182,520 and 1,826,973 is: 2,822,641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,520 : 1,826,973 = 1,826,973 : x
  2. Step 2: Convert to fraction form
    1,182,520/1,826,973 = 1,826,973/x
  3. Step 3: Cross multiply
    1,182,520x = 1,826,973 × 1,826,973
  4. Step 4: Simplify right side
    1,182,520x = 3,337,830,342,729
  5. Step 5: Solve for x
    x = 3,337,830,342,729/1,182,520
  6. Step 6: Final answer
    x = 2,822,641.77

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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.