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Finding the Third Proportional to 533,196 and 1,184,487

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Solution

The third proportional to 533,196 and 1,184,487 is: 2,631,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,196 : 1,184,487 = 1,184,487 : x
  2. Step 2: Convert to fraction form
    533,196/1,184,487 = 1,184,487/x
  3. Step 3: Cross multiply
    533,196x = 1,184,487 × 1,184,487
  4. Step 4: Simplify right side
    533,196x = 1,403,009,453,169
  5. Step 5: Solve for x
    x = 1,403,009,453,169/533,196
  6. Step 6: Final answer
    x = 2,631,320.29

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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.