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Finding the Third Proportional to 917,825.59 and 1,961,764.63

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Solution

The third proportional to 917,825.59 and 1,961,764.63 is: 4,193,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,825.59 : 1,961,764.63 = 1,961,764.63 : x
  2. Step 2: Convert to fraction form
    917,825.59/1,961,764.63 = 1,961,764.63/x
  3. Step 3: Cross multiply
    917,825.59x = 1,961,764.63 × 1,961,764.63
  4. Step 4: Simplify right side
    917,825.59x = 3,848,520,459,227.48
  5. Step 5: Solve for x
    x = 3,848,520,459,227.48/917,825.59
  6. Step 6: Final answer
    x = 4,193,084.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.