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Finding the Third Proportional to 760,728 and 1,606,338

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Solution

The third proportional to 760,728 and 1,606,338 is: 3,391,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,728 : 1,606,338 = 1,606,338 : x
  2. Step 2: Convert to fraction form
    760,728/1,606,338 = 1,606,338/x
  3. Step 3: Cross multiply
    760,728x = 1,606,338 × 1,606,338
  4. Step 4: Simplify right side
    760,728x = 2,580,321,770,244
  5. Step 5: Solve for x
    x = 2,580,321,770,244/760,728
  6. Step 6: Final answer
    x = 3,391,911.13

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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.