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Finding the Third Proportional to 2,468,128 and 3,728,490

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Solution

The third proportional to 2,468,128 and 3,728,490 is: 5,632,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468,128 : 3,728,490 = 3,728,490 : x
  2. Step 2: Convert to fraction form
    2,468,128/3,728,490 = 3,728,490/x
  3. Step 3: Cross multiply
    2,468,128x = 3,728,490 × 3,728,490
  4. Step 4: Simplify right side
    2,468,128x = 13,901,637,680,100
  5. Step 5: Solve for x
    x = 13,901,637,680,100/2,468,128
  6. Step 6: Final answer
    x = 5,632,462.21

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