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Finding the Third Proportional to 781,226 and 1,712,014

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Solution

The third proportional to 781,226 and 1,712,014 is: 3,751,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,226 : 1,712,014 = 1,712,014 : x
  2. Step 2: Convert to fraction form
    781,226/1,712,014 = 1,712,014/x
  3. Step 3: Cross multiply
    781,226x = 1,712,014 × 1,712,014
  4. Step 4: Simplify right side
    781,226x = 2,930,991,936,196
  5. Step 5: Solve for x
    x = 2,930,991,936,196/781,226
  6. Step 6: Final answer
    x = 3,751,784.93

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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.