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Finding the Third Proportional to 492,070 and 1,058,318

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Solution

The third proportional to 492,070 and 1,058,318 is: 2,276,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,070 : 1,058,318 = 1,058,318 : x
  2. Step 2: Convert to fraction form
    492,070/1,058,318 = 1,058,318/x
  3. Step 3: Cross multiply
    492,070x = 1,058,318 × 1,058,318
  4. Step 4: Simplify right side
    492,070x = 1,120,036,989,124
  5. Step 5: Solve for x
    x = 1,120,036,989,124/492,070
  6. Step 6: Final answer
    x = 2,276,174.10

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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.