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Finding the Third Proportional to 492,072 and 1,059,588

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Solution

The third proportional to 492,072 and 1,059,588 is: 2,281,631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,072 : 1,059,588 = 1,059,588 : x
  2. Step 2: Convert to fraction form
    492,072/1,059,588 = 1,059,588/x
  3. Step 3: Cross multiply
    492,072x = 1,059,588 × 1,059,588
  4. Step 4: Simplify right side
    492,072x = 1,122,726,729,744
  5. Step 5: Solve for x
    x = 1,122,726,729,744/492,072
  6. Step 6: Final answer
    x = 2,281,631.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.