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Finding the Third Proportional to 1,271,328 and 2,785,440

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Solution

The third proportional to 1,271,328 and 2,785,440 is: 6,102,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,328 : 2,785,440 = 2,785,440 : x
  2. Step 2: Convert to fraction form
    1,271,328/2,785,440 = 2,785,440/x
  3. Step 3: Cross multiply
    1,271,328x = 2,785,440 × 2,785,440
  4. Step 4: Simplify right side
    1,271,328x = 7,758,675,993,600
  5. Step 5: Solve for x
    x = 7,758,675,993,600/1,271,328
  6. Step 6: Final answer
    x = 6,102,812.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.