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Finding the Third Proportional to 722,733 and 1,556,461

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Solution

The third proportional to 722,733 and 1,556,461 is: 3,351,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,733 : 1,556,461 = 1,556,461 : x
  2. Step 2: Convert to fraction form
    722,733/1,556,461 = 1,556,461/x
  3. Step 3: Cross multiply
    722,733x = 1,556,461 × 1,556,461
  4. Step 4: Simplify right side
    722,733x = 2,422,570,844,521
  5. Step 5: Solve for x
    x = 2,422,570,844,521/722,733
  6. Step 6: Final answer
    x = 3,351,958.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.