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Finding the Third Proportional to 474,417 and 1,036,386

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Solution

The third proportional to 474,417 and 1,036,386 is: 2,264,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,417 : 1,036,386 = 1,036,386 : x
  2. Step 2: Convert to fraction form
    474,417/1,036,386 = 1,036,386/x
  3. Step 3: Cross multiply
    474,417x = 1,036,386 × 1,036,386
  4. Step 4: Simplify right side
    474,417x = 1,074,095,940,996
  5. Step 5: Solve for x
    x = 1,074,095,940,996/474,417
  6. Step 6: Final answer
    x = 2,264,033.42

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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.