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Finding the Third Proportional to 1,032,070 and 2,331,719

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Solution

The third proportional to 1,032,070 and 2,331,719 is: 5,267,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,070 : 2,331,719 = 2,331,719 : x
  2. Step 2: Convert to fraction form
    1,032,070/2,331,719 = 2,331,719/x
  3. Step 3: Cross multiply
    1,032,070x = 2,331,719 × 2,331,719
  4. Step 4: Simplify right side
    1,032,070x = 5,436,913,494,961
  5. Step 5: Solve for x
    x = 5,436,913,494,961/1,032,070
  6. Step 6: Final answer
    x = 5,267,969.71

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.