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Finding the Third Proportional to 1,399,613 and 2,099,055.50

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Solution

The third proportional to 1,399,613 and 2,099,055.50 is: 3,148,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399,613 : 2,099,055.50 = 2,099,055.50 : x
  2. Step 2: Convert to fraction form
    1,399,613/2,099,055.50 = 2,099,055.50/x
  3. Step 3: Cross multiply
    1,399,613x = 2,099,055.50 × 2,099,055.50
  4. Step 4: Simplify right side
    1,399,613x = 4,406,033,992,080.25
  5. Step 5: Solve for x
    x = 4,406,033,992,080.25/1,399,613
  6. Step 6: Final answer
    x = 3,148,037.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.