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Finding the Third Proportional to 685,418 and 1,024,095

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Solution

The third proportional to 685,418 and 1,024,095 is: 1,530,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,418 : 1,024,095 = 1,024,095 : x
  2. Step 2: Convert to fraction form
    685,418/1,024,095 = 1,024,095/x
  3. Step 3: Cross multiply
    685,418x = 1,024,095 × 1,024,095
  4. Step 4: Simplify right side
    685,418x = 1,048,770,569,025
  5. Step 5: Solve for x
    x = 1,048,770,569,025/685,418
  6. Step 6: Final answer
    x = 1,530,118.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.