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Finding the Third Proportional to 713,367 and 1,485,661.50

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Solution

The third proportional to 713,367 and 1,485,661.50 is: 3,094,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,367 : 1,485,661.50 = 1,485,661.50 : x
  2. Step 2: Convert to fraction form
    713,367/1,485,661.50 = 1,485,661.50/x
  3. Step 3: Cross multiply
    713,367x = 1,485,661.50 × 1,485,661.50
  4. Step 4: Simplify right side
    713,367x = 2,207,190,092,582.25
  5. Step 5: Solve for x
    x = 2,207,190,092,582.25/713,367
  6. Step 6: Final answer
    x = 3,094,045.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.