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Finding the Third Proportional to 545,364 and 1,171,687.50

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Solution

The third proportional to 545,364 and 1,171,687.50 is: 2,517,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,364 : 1,171,687.50 = 1,171,687.50 : x
  2. Step 2: Convert to fraction form
    545,364/1,171,687.50 = 1,171,687.50/x
  3. Step 3: Cross multiply
    545,364x = 1,171,687.50 × 1,171,687.50
  4. Step 4: Simplify right side
    545,364x = 1,372,851,597,656.25
  5. Step 5: Solve for x
    x = 1,372,851,597,656.25/545,364
  6. Step 6: Final answer
    x = 2,517,312.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.