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Finding the Third Proportional to 2,896,746 and 4,382,393

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Solution

The third proportional to 2,896,746 and 4,382,393 is: 6,629,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896,746 : 4,382,393 = 4,382,393 : x
  2. Step 2: Convert to fraction form
    2,896,746/4,382,393 = 4,382,393/x
  3. Step 3: Cross multiply
    2,896,746x = 4,382,393 × 4,382,393
  4. Step 4: Simplify right side
    2,896,746x = 19,205,368,406,449
  5. Step 5: Solve for x
    x = 19,205,368,406,449/2,896,746
  6. Step 6: Final answer
    x = 6,629,980.12

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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.