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Finding the Third Proportional to 474,396 and 1,036,344

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Solution

The third proportional to 474,396 and 1,036,344 is: 2,263,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,396 : 1,036,344 = 1,036,344 : x
  2. Step 2: Convert to fraction form
    474,396/1,036,344 = 1,036,344/x
  3. Step 3: Cross multiply
    474,396x = 1,036,344 × 1,036,344
  4. Step 4: Simplify right side
    474,396x = 1,074,008,886,336
  5. Step 5: Solve for x
    x = 1,074,008,886,336/474,396
  6. Step 6: Final answer
    x = 2,263,950.13

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Why These Related Problems?

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