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Finding the Third Proportional to 842,732 and 1,843,124

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Solution

The third proportional to 842,732 and 1,843,124 is: 4,031,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,732 : 1,843,124 = 1,843,124 : x
  2. Step 2: Convert to fraction form
    842,732/1,843,124 = 1,843,124/x
  3. Step 3: Cross multiply
    842,732x = 1,843,124 × 1,843,124
  4. Step 4: Simplify right side
    842,732x = 3,397,106,079,376
  5. Step 5: Solve for x
    x = 3,397,106,079,376/842,732
  6. Step 6: Final answer
    x = 4,031,063.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.