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Finding the Third Proportional to 531,974 and 1,154,368

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Solution

The third proportional to 531,974 and 1,154,368 is: 2,504,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,974 : 1,154,368 = 1,154,368 : x
  2. Step 2: Convert to fraction form
    531,974/1,154,368 = 1,154,368/x
  3. Step 3: Cross multiply
    531,974x = 1,154,368 × 1,154,368
  4. Step 4: Simplify right side
    531,974x = 1,332,565,479,424
  5. Step 5: Solve for x
    x = 1,332,565,479,424/531,974
  6. Step 6: Final answer
    x = 2,504,944.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.