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Finding the Third Proportional to 703,469.81 and 1,535,646.09

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Solution

The third proportional to 703,469.81 and 1,535,646.09 is: 3,352,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,469.81 : 1,535,646.09 = 1,535,646.09 : x
  2. Step 2: Convert to fraction form
    703,469.81/1,535,646.09 = 1,535,646.09/x
  3. Step 3: Cross multiply
    703,469.81x = 1,535,646.09 × 1,535,646.09
  4. Step 4: Simplify right side
    703,469.81x = 2,358,208,925,249.63
  5. Step 5: Solve for x
    x = 2,358,208,925,249.63/703,469.81
  6. Step 6: Final answer
    x = 3,352,253.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.