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Finding the Third Proportional to 1,402,420 and 3,071,796

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Solution

The third proportional to 1,402,420 and 3,071,796 is: 6,728,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,420 : 3,071,796 = 3,071,796 : x
  2. Step 2: Convert to fraction form
    1,402,420/3,071,796 = 3,071,796/x
  3. Step 3: Cross multiply
    1,402,420x = 3,071,796 × 3,071,796
  4. Step 4: Simplify right side
    1,402,420x = 9,435,930,665,616
  5. Step 5: Solve for x
    x = 9,435,930,665,616/1,402,420
  6. Step 6: Final answer
    x = 6,728,320.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.