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Finding the Third Proportional to 934,993 and 2,019,511

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Solution

The third proportional to 934,993 and 2,019,511 is: 4,361,984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,993 : 2,019,511 = 2,019,511 : x
  2. Step 2: Convert to fraction form
    934,993/2,019,511 = 2,019,511/x
  3. Step 3: Cross multiply
    934,993x = 2,019,511 × 2,019,511
  4. Step 4: Simplify right side
    934,993x = 4,078,424,679,121
  5. Step 5: Solve for x
    x = 4,078,424,679,121/934,993
  6. Step 6: Final answer
    x = 4,361,984.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.