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Finding the Third Proportional to 800,532 and 1,913,485.50

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Solution

The third proportional to 800,532 and 1,913,485.50 is: 4,573,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,532 : 1,913,485.50 = 1,913,485.50 : x
  2. Step 2: Convert to fraction form
    800,532/1,913,485.50 = 1,913,485.50/x
  3. Step 3: Cross multiply
    800,532x = 1,913,485.50 × 1,913,485.50
  4. Step 4: Simplify right side
    800,532x = 3,661,426,758,710.25
  5. Step 5: Solve for x
    x = 3,661,426,758,710.25/800,532
  6. Step 6: Final answer
    x = 4,573,741.91

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.