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Finding the Third Proportional to 4,403,706 and 6,805,941

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Solution

The third proportional to 4,403,706 and 6,805,941 is: 10,518,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,403,706 : 6,805,941 = 6,805,941 : x
  2. Step 2: Convert to fraction form
    4,403,706/6,805,941 = 6,805,941/x
  3. Step 3: Cross multiply
    4,403,706x = 6,805,941 × 6,805,941
  4. Step 4: Simplify right side
    4,403,706x = 46,320,832,895,481
  5. Step 5: Solve for x
    x = 46,320,832,895,481/4,403,706
  6. Step 6: Final answer
    x = 10,518,602.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.