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Finding the Third Proportional to 722,700 and 1,526,796

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Solution

The third proportional to 722,700 and 1,526,796 is: 3,225,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,700 : 1,526,796 = 1,526,796 : x
  2. Step 2: Convert to fraction form
    722,700/1,526,796 = 1,526,796/x
  3. Step 3: Cross multiply
    722,700x = 1,526,796 × 1,526,796
  4. Step 4: Simplify right side
    722,700x = 2,331,106,025,616
  5. Step 5: Solve for x
    x = 2,331,106,025,616/722,700
  6. Step 6: Final answer
    x = 3,225,551.44

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Why These Related Problems?

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