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Finding the Third Proportional to 616,918 and 1,428,034

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Solution

The third proportional to 616,918 and 1,428,034 is: 3,305,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,918 : 1,428,034 = 1,428,034 : x
  2. Step 2: Convert to fraction form
    616,918/1,428,034 = 1,428,034/x
  3. Step 3: Cross multiply
    616,918x = 1,428,034 × 1,428,034
  4. Step 4: Simplify right side
    616,918x = 2,039,281,105,156
  5. Step 5: Solve for x
    x = 2,039,281,105,156/616,918
  6. Step 6: Final answer
    x = 3,305,595.08

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.