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Finding the Third Proportional to 534,643 and 777,907

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Solution

The third proportional to 534,643 and 777,907 is: 1,131,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,643 : 777,907 = 777,907 : x
  2. Step 2: Convert to fraction form
    534,643/777,907 = 777,907/x
  3. Step 3: Cross multiply
    534,643x = 777,907 × 777,907
  4. Step 4: Simplify right side
    534,643x = 605,139,300,649
  5. Step 5: Solve for x
    x = 605,139,300,649/534,643
  6. Step 6: Final answer
    x = 1,131,856.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.