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Finding the Third Proportional to 714,808 and 1,571,771

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Solution

The third proportional to 714,808 and 1,571,771 is: 3,456,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,808 : 1,571,771 = 1,571,771 : x
  2. Step 2: Convert to fraction form
    714,808/1,571,771 = 1,571,771/x
  3. Step 3: Cross multiply
    714,808x = 1,571,771 × 1,571,771
  4. Step 4: Simplify right side
    714,808x = 2,470,464,076,441
  5. Step 5: Solve for x
    x = 2,470,464,076,441/714,808
  6. Step 6: Final answer
    x = 3,456,122.59

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Why These Related Problems?

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