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Finding the Third Proportional to 618,275 and 1,356,106

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Solution

The third proportional to 618,275 and 1,356,106 is: 2,974,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,275 : 1,356,106 = 1,356,106 : x
  2. Step 2: Convert to fraction form
    618,275/1,356,106 = 1,356,106/x
  3. Step 3: Cross multiply
    618,275x = 1,356,106 × 1,356,106
  4. Step 4: Simplify right side
    618,275x = 1,839,023,483,236
  5. Step 5: Solve for x
    x = 1,839,023,483,236/618,275
  6. Step 6: Final answer
    x = 2,974,442.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.