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Finding the Third Proportional to 1,689,907 and 3,645,251

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Solution

The third proportional to 1,689,907 and 3,645,251 is: 7,863,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,907 : 3,645,251 = 3,645,251 : x
  2. Step 2: Convert to fraction form
    1,689,907/3,645,251 = 3,645,251/x
  3. Step 3: Cross multiply
    1,689,907x = 3,645,251 × 3,645,251
  4. Step 4: Simplify right side
    1,689,907x = 13,287,854,853,001
  5. Step 5: Solve for x
    x = 13,287,854,853,001/1,689,907
  6. Step 6: Final answer
    x = 7,863,068.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.