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Finding the Third Proportional to 2,413,560 and 3,578,592

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Solution

The third proportional to 2,413,560 and 3,578,592 is: 5,305,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413,560 : 3,578,592 = 3,578,592 : x
  2. Step 2: Convert to fraction form
    2,413,560/3,578,592 = 3,578,592/x
  3. Step 3: Cross multiply
    2,413,560x = 3,578,592 × 3,578,592
  4. Step 4: Simplify right side
    2,413,560x = 12,806,320,702,464
  5. Step 5: Solve for x
    x = 12,806,320,702,464/2,413,560
  6. Step 6: Final answer
    x = 5,305,988.13

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.