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Finding the Third Proportional to 683,614.69 and 1,473,210

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Solution

The third proportional to 683,614.69 and 1,473,210 is: 3,174,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,614.69 : 1,473,210 = 1,473,210 : x
  2. Step 2: Convert to fraction form
    683,614.69/1,473,210 = 1,473,210/x
  3. Step 3: Cross multiply
    683,614.69x = 1,473,210 × 1,473,210
  4. Step 4: Simplify right side
    683,614.69x = 2,170,347,704,100
  5. Step 5: Solve for x
    x = 2,170,347,704,100/683,614.69
  6. Step 6: Final answer
    x = 3,174,811.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.