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Finding the Third Proportional to 714,807 and 1,571,769

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Solution

The third proportional to 714,807 and 1,571,769 is: 3,456,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,807 : 1,571,769 = 1,571,769 : x
  2. Step 2: Convert to fraction form
    714,807/1,571,769 = 1,571,769/x
  3. Step 3: Cross multiply
    714,807x = 1,571,769 × 1,571,769
  4. Step 4: Simplify right side
    714,807x = 2,470,457,789,361
  5. Step 5: Solve for x
    x = 2,470,457,789,361/714,807
  6. Step 6: Final answer
    x = 3,456,118.63

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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.