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Finding the Third Proportional to 1,580,508 and 3,413,748

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Solution

The third proportional to 1,580,508 and 3,413,748 is: 7,373,373.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,508 : 3,413,748 = 3,413,748 : x
  2. Step 2: Convert to fraction form
    1,580,508/3,413,748 = 3,413,748/x
  3. Step 3: Cross multiply
    1,580,508x = 3,413,748 × 3,413,748
  4. Step 4: Simplify right side
    1,580,508x = 11,653,675,407,504
  5. Step 5: Solve for x
    x = 11,653,675,407,504/1,580,508
  6. Step 6: Final answer
    x = 7,373,373.25

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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.