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Finding the Third Proportional to 460,062 and 990,424.50

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Solution

The third proportional to 460,062 and 990,424.50 is: 2,132,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,062 : 990,424.50 = 990,424.50 : x
  2. Step 2: Convert to fraction form
    460,062/990,424.50 = 990,424.50/x
  3. Step 3: Cross multiply
    460,062x = 990,424.50 × 990,424.50
  4. Step 4: Simplify right side
    460,062x = 980,940,690,200.25
  5. Step 5: Solve for x
    x = 980,940,690,200.25/460,062
  6. Step 6: Final answer
    x = 2,132,192.38

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