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Finding the Third Proportional to 688,319 and 1,491,044

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Solution

The third proportional to 688,319 and 1,491,044 is: 3,229,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,319 : 1,491,044 = 1,491,044 : x
  2. Step 2: Convert to fraction form
    688,319/1,491,044 = 1,491,044/x
  3. Step 3: Cross multiply
    688,319x = 1,491,044 × 1,491,044
  4. Step 4: Simplify right side
    688,319x = 2,223,212,209,936
  5. Step 5: Solve for x
    x = 2,223,212,209,936/688,319
  6. Step 6: Final answer
    x = 3,229,915.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.