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Finding the Third Proportional to 616,908 and 1,428,030

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Solution

The third proportional to 616,908 and 1,428,030 is: 3,305,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,908 : 1,428,030 = 1,428,030 : x
  2. Step 2: Convert to fraction form
    616,908/1,428,030 = 1,428,030/x
  3. Step 3: Cross multiply
    616,908x = 1,428,030 × 1,428,030
  4. Step 4: Simplify right side
    616,908x = 2,039,269,680,900
  5. Step 5: Solve for x
    x = 2,039,269,680,900/616,908
  6. Step 6: Final answer
    x = 3,305,630.14

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Why These Related Problems?

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