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Finding the Third Proportional to 700,344 and 1,536,844

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Solution

The third proportional to 700,344 and 1,536,844 is: 3,372,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,344 : 1,536,844 = 1,536,844 : x
  2. Step 2: Convert to fraction form
    700,344/1,536,844 = 1,536,844/x
  3. Step 3: Cross multiply
    700,344x = 1,536,844 × 1,536,844
  4. Step 4: Simplify right side
    700,344x = 2,361,889,480,336
  5. Step 5: Solve for x
    x = 2,361,889,480,336/700,344
  6. Step 6: Final answer
    x = 3,372,470.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.