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Finding the Third Proportional to 1,580,864 and 3,468,988

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Solution

The third proportional to 1,580,864 and 3,468,988 is: 7,612,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,864 : 3,468,988 = 3,468,988 : x
  2. Step 2: Convert to fraction form
    1,580,864/3,468,988 = 3,468,988/x
  3. Step 3: Cross multiply
    1,580,864x = 3,468,988 × 3,468,988
  4. Step 4: Simplify right side
    1,580,864x = 12,033,877,744,144
  5. Step 5: Solve for x
    x = 12,033,877,744,144/1,580,864
  6. Step 6: Final answer
    x = 7,612,215.69

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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.