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Finding the Third Proportional to 1,458,728 and 2,140,796

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Solution

The third proportional to 1,458,728 and 2,140,796 is: 3,141,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458,728 : 2,140,796 = 2,140,796 : x
  2. Step 2: Convert to fraction form
    1,458,728/2,140,796 = 2,140,796/x
  3. Step 3: Cross multiply
    1,458,728x = 2,140,796 × 2,140,796
  4. Step 4: Simplify right side
    1,458,728x = 4,583,007,513,616
  5. Step 5: Solve for x
    x = 4,583,007,513,616/1,458,728
  6. Step 6: Final answer
    x = 3,141,783.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.