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Finding the Third Proportional to 533,054 and 1,151,464

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Solution

The third proportional to 533,054 and 1,151,464 is: 2,487,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,054 : 1,151,464 = 1,151,464 : x
  2. Step 2: Convert to fraction form
    533,054/1,151,464 = 1,151,464/x
  3. Step 3: Cross multiply
    533,054x = 1,151,464 × 1,151,464
  4. Step 4: Simplify right side
    533,054x = 1,325,869,343,296
  5. Step 5: Solve for x
    x = 1,325,869,343,296/533,054
  6. Step 6: Final answer
    x = 2,487,307.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.