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Finding the Third Proportional to 683,831.50 and 1,582,946.25

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Solution

The third proportional to 683,831.50 and 1,582,946.25 is: 3,664,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,831.50 : 1,582,946.25 = 1,582,946.25 : x
  2. Step 2: Convert to fraction form
    683,831.50/1,582,946.25 = 1,582,946.25/x
  3. Step 3: Cross multiply
    683,831.50x = 1,582,946.25 × 1,582,946.25
  4. Step 4: Simplify right side
    683,831.50x = 2,505,718,830,389.06
  5. Step 5: Solve for x
    x = 2,505,718,830,389.06/683,831.50
  6. Step 6: Final answer
    x = 3,664,234.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.