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Finding the Third Proportional to 680,554 and 1,044,624

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Solution

The third proportional to 680,554 and 1,044,624 is: 1,603,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,554 : 1,044,624 = 1,044,624 : x
  2. Step 2: Convert to fraction form
    680,554/1,044,624 = 1,044,624/x
  3. Step 3: Cross multiply
    680,554x = 1,044,624 × 1,044,624
  4. Step 4: Simplify right side
    680,554x = 1,091,239,301,376
  5. Step 5: Solve for x
    x = 1,091,239,301,376/680,554
  6. Step 6: Final answer
    x = 1,603,457.33

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