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Finding the Third Proportional to 1,154,432 and 2,558,032

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Solution

The third proportional to 1,154,432 and 2,558,032 is: 5,668,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,432 : 2,558,032 = 2,558,032 : x
  2. Step 2: Convert to fraction form
    1,154,432/2,558,032 = 2,558,032/x
  3. Step 3: Cross multiply
    1,154,432x = 2,558,032 × 2,558,032
  4. Step 4: Simplify right side
    1,154,432x = 6,543,527,713,024
  5. Step 5: Solve for x
    x = 6,543,527,713,024/1,154,432
  6. Step 6: Final answer
    x = 5,668,179.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.