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Finding the Third Proportional to 1,038,574 and 2,159,705

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Solution

The third proportional to 1,038,574 and 2,159,705 is: 4,491,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,574 : 2,159,705 = 2,159,705 : x
  2. Step 2: Convert to fraction form
    1,038,574/2,159,705 = 2,159,705/x
  3. Step 3: Cross multiply
    1,038,574x = 2,159,705 × 2,159,705
  4. Step 4: Simplify right side
    1,038,574x = 4,664,325,687,025
  5. Step 5: Solve for x
    x = 4,664,325,687,025/1,038,574
  6. Step 6: Final answer
    x = 4,491,086.52

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.