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Finding the Third Proportional to 474,411 and 1,036,374

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Solution

The third proportional to 474,411 and 1,036,374 is: 2,264,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,411 : 1,036,374 = 1,036,374 : x
  2. Step 2: Convert to fraction form
    474,411/1,036,374 = 1,036,374/x
  3. Step 3: Cross multiply
    474,411x = 1,036,374 × 1,036,374
  4. Step 4: Simplify right side
    474,411x = 1,074,071,067,876
  5. Step 5: Solve for x
    x = 1,074,071,067,876/474,411
  6. Step 6: Final answer
    x = 2,264,009.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.