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Finding the Third Proportional to 722,186 and 1,564,900

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Solution

The third proportional to 722,186 and 1,564,900 is: 3,390,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,186 : 1,564,900 = 1,564,900 : x
  2. Step 2: Convert to fraction form
    722,186/1,564,900 = 1,564,900/x
  3. Step 3: Cross multiply
    722,186x = 1,564,900 × 1,564,900
  4. Step 4: Simplify right side
    722,186x = 2,448,912,010,000
  5. Step 5: Solve for x
    x = 2,448,912,010,000/722,186
  6. Step 6: Final answer
    x = 3,390,971.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.