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Finding the Third Proportional to 1,680,633 and 2,540,959

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Solution

The third proportional to 1,680,633 and 2,540,959 is: 3,841,690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,633 : 2,540,959 = 2,540,959 : x
  2. Step 2: Convert to fraction form
    1,680,633/2,540,959 = 2,540,959/x
  3. Step 3: Cross multiply
    1,680,633x = 2,540,959 × 2,540,959
  4. Step 4: Simplify right side
    1,680,633x = 6,456,472,639,681
  5. Step 5: Solve for x
    x = 6,456,472,639,681/1,680,633
  6. Step 6: Final answer
    x = 3,841,690.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.