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Finding the Third Proportional to 668,294.25 and 1,440,915.75

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Solution

The third proportional to 668,294.25 and 1,440,915.75 is: 3,106,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,294.25 : 1,440,915.75 = 1,440,915.75 : x
  2. Step 2: Convert to fraction form
    668,294.25/1,440,915.75 = 1,440,915.75/x
  3. Step 3: Cross multiply
    668,294.25x = 1,440,915.75 × 1,440,915.75
  4. Step 4: Simplify right side
    668,294.25x = 2,076,238,198,598.06
  5. Step 5: Solve for x
    x = 2,076,238,198,598.06/668,294.25
  6. Step 6: Final answer
    x = 3,106,772.50

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