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Finding the Third Proportional to 467,658 and 1,010,043

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Solution

The third proportional to 467,658 and 1,010,043 is: 2,181,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,658 : 1,010,043 = 1,010,043 : x
  2. Step 2: Convert to fraction form
    467,658/1,010,043 = 1,010,043/x
  3. Step 3: Cross multiply
    467,658x = 1,010,043 × 1,010,043
  4. Step 4: Simplify right side
    467,658x = 1,020,186,861,849
  5. Step 5: Solve for x
    x = 1,020,186,861,849/467,658
  6. Step 6: Final answer
    x = 2,181,480.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.