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Finding the Third Proportional to 474,405 and 1,036,362

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Solution

The third proportional to 474,405 and 1,036,362 is: 2,263,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,405 : 1,036,362 = 1,036,362 : x
  2. Step 2: Convert to fraction form
    474,405/1,036,362 = 1,036,362/x
  3. Step 3: Cross multiply
    474,405x = 1,036,362 × 1,036,362
  4. Step 4: Simplify right side
    474,405x = 1,074,046,195,044
  5. Step 5: Solve for x
    x = 1,074,046,195,044/474,405
  6. Step 6: Final answer
    x = 2,263,985.82

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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.