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Finding the Third Proportional to 619,785 and 947,486.25

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Solution

The third proportional to 619,785 and 947,486.25 is: 1,448,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,785 : 947,486.25 = 947,486.25 : x
  2. Step 2: Convert to fraction form
    619,785/947,486.25 = 947,486.25/x
  3. Step 3: Cross multiply
    619,785x = 947,486.25 × 947,486.25
  4. Step 4: Simplify right side
    619,785x = 897,730,193,939.06
  5. Step 5: Solve for x
    x = 897,730,193,939.06/619,785
  6. Step 6: Final answer
    x = 1,448,454.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.