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Finding the Third Proportional to 533,142 and 1,184,382

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Solution

The third proportional to 533,142 and 1,184,382 is: 2,631,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,142 : 1,184,382 = 1,184,382 : x
  2. Step 2: Convert to fraction form
    533,142/1,184,382 = 1,184,382/x
  3. Step 3: Cross multiply
    533,142x = 1,184,382 × 1,184,382
  4. Step 4: Simplify right side
    533,142x = 1,402,760,721,924
  5. Step 5: Solve for x
    x = 1,402,760,721,924/533,142
  6. Step 6: Final answer
    x = 2,631,120.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.