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Finding the Third Proportional to 2,961,006 and 4,463,382

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Solution

The third proportional to 2,961,006 and 4,463,382 is: 6,728,044.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961,006 : 4,463,382 = 4,463,382 : x
  2. Step 2: Convert to fraction form
    2,961,006/4,463,382 = 4,463,382/x
  3. Step 3: Cross multiply
    2,961,006x = 4,463,382 × 4,463,382
  4. Step 4: Simplify right side
    2,961,006x = 19,921,778,877,924
  5. Step 5: Solve for x
    x = 19,921,778,877,924/2,961,006
  6. Step 6: Final answer
    x = 6,728,044.08

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Why These Related Problems?

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