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Finding the Third Proportional to 720,400 and 1,552,526

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Solution

The third proportional to 720,400 and 1,552,526 is: 3,345,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,400 : 1,552,526 = 1,552,526 : x
  2. Step 2: Convert to fraction form
    720,400/1,552,526 = 1,552,526/x
  3. Step 3: Cross multiply
    720,400x = 1,552,526 × 1,552,526
  4. Step 4: Simplify right side
    720,400x = 2,410,336,980,676
  5. Step 5: Solve for x
    x = 2,410,336,980,676/720,400
  6. Step 6: Final answer
    x = 3,345,831.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.