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Finding the Third Proportional to 2,004,822 and 2,896,623

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Solution

The third proportional to 2,004,822 and 2,896,623 is: 4,185,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,822 : 2,896,623 = 2,896,623 : x
  2. Step 2: Convert to fraction form
    2,004,822/2,896,623 = 2,896,623/x
  3. Step 3: Cross multiply
    2,004,822x = 2,896,623 × 2,896,623
  4. Step 4: Simplify right side
    2,004,822x = 8,390,424,804,129
  5. Step 5: Solve for x
    x = 8,390,424,804,129/2,004,822
  6. Step 6: Final answer
    x = 4,185,122.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.