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Finding the Third Proportional to 697,250 and 1,472,836

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Solution

The third proportional to 697,250 and 1,472,836 is: 3,111,145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,250 : 1,472,836 = 1,472,836 : x
  2. Step 2: Convert to fraction form
    697,250/1,472,836 = 1,472,836/x
  3. Step 3: Cross multiply
    697,250x = 1,472,836 × 1,472,836
  4. Step 4: Simplify right side
    697,250x = 2,169,245,882,896
  5. Step 5: Solve for x
    x = 2,169,245,882,896/697,250
  6. Step 6: Final answer
    x = 3,111,145.05

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.