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Finding the Third Proportional to 1,961,382 and 4,248,261

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Solution

The third proportional to 1,961,382 and 4,248,261 is: 9,201,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961,382 : 4,248,261 = 4,248,261 : x
  2. Step 2: Convert to fraction form
    1,961,382/4,248,261 = 4,248,261/x
  3. Step 3: Cross multiply
    1,961,382x = 4,248,261 × 4,248,261
  4. Step 4: Simplify right side
    1,961,382x = 18,047,721,524,121
  5. Step 5: Solve for x
    x = 18,047,721,524,121/1,961,382
  6. Step 6: Final answer
    x = 9,201,533.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.