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Finding the Third Proportional to 1,878,951 and 4,023,623

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Solution

The third proportional to 1,878,951 and 4,023,623 is: 8,616,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878,951 : 4,023,623 = 4,023,623 : x
  2. Step 2: Convert to fraction form
    1,878,951/4,023,623 = 4,023,623/x
  3. Step 3: Cross multiply
    1,878,951x = 4,023,623 × 4,023,623
  4. Step 4: Simplify right side
    1,878,951x = 16,189,542,046,129
  5. Step 5: Solve for x
    x = 16,189,542,046,129/1,878,951
  6. Step 6: Final answer
    x = 8,616,266.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.