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Finding the Third Proportional to 777,010 and 1,200,021

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Solution

The third proportional to 777,010 and 1,200,021 is: 1,853,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,010 : 1,200,021 = 1,200,021 : x
  2. Step 2: Convert to fraction form
    777,010/1,200,021 = 1,200,021/x
  3. Step 3: Cross multiply
    777,010x = 1,200,021 × 1,200,021
  4. Step 4: Simplify right side
    777,010x = 1,440,050,400,441
  5. Step 5: Solve for x
    x = 1,440,050,400,441/777,010
  6. Step 6: Final answer
    x = 1,853,322.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.