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Finding the Third Proportional to 714,768 and 1,569,505

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Solution

The third proportional to 714,768 and 1,569,505 is: 3,446,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,768 : 1,569,505 = 1,569,505 : x
  2. Step 2: Convert to fraction form
    714,768/1,569,505 = 1,569,505/x
  3. Step 3: Cross multiply
    714,768x = 1,569,505 × 1,569,505
  4. Step 4: Simplify right side
    714,768x = 2,463,345,945,025
  5. Step 5: Solve for x
    x = 2,463,345,945,025/714,768
  6. Step 6: Final answer
    x = 3,446,357.34

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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.