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Finding the Third Proportional to 791,616 and 1,543,623

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Solution

The third proportional to 791,616 and 1,543,623 is: 3,010,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,616 : 1,543,623 = 1,543,623 : x
  2. Step 2: Convert to fraction form
    791,616/1,543,623 = 1,543,623/x
  3. Step 3: Cross multiply
    791,616x = 1,543,623 × 1,543,623
  4. Step 4: Simplify right side
    791,616x = 2,382,771,966,129
  5. Step 5: Solve for x
    x = 2,382,771,966,129/791,616
  6. Step 6: Final answer
    x = 3,010,009.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.