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Finding the Third Proportional to 610,668 and 1,345,320

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Solution

The third proportional to 610,668 and 1,345,320 is: 2,963,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,668 : 1,345,320 = 1,345,320 : x
  2. Step 2: Convert to fraction form
    610,668/1,345,320 = 1,345,320/x
  3. Step 3: Cross multiply
    610,668x = 1,345,320 × 1,345,320
  4. Step 4: Simplify right side
    610,668x = 1,809,885,902,400
  5. Step 5: Solve for x
    x = 1,809,885,902,400/610,668
  6. Step 6: Final answer
    x = 2,963,780.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.