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Finding the Third Proportional to 941,230 and 1,413,991

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Solution

The third proportional to 941,230 and 1,413,991 is: 2,124,210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,230 : 1,413,991 = 1,413,991 : x
  2. Step 2: Convert to fraction form
    941,230/1,413,991 = 1,413,991/x
  3. Step 3: Cross multiply
    941,230x = 1,413,991 × 1,413,991
  4. Step 4: Simplify right side
    941,230x = 1,999,370,548,081
  5. Step 5: Solve for x
    x = 1,999,370,548,081/941,230
  6. Step 6: Final answer
    x = 2,124,210.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.