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Finding the Third Proportional to 525,866 and 1,148,994

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Solution

The third proportional to 525,866 and 1,148,994 is: 2,510,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,866 : 1,148,994 = 1,148,994 : x
  2. Step 2: Convert to fraction form
    525,866/1,148,994 = 1,148,994/x
  3. Step 3: Cross multiply
    525,866x = 1,148,994 × 1,148,994
  4. Step 4: Simplify right side
    525,866x = 1,320,187,212,036
  5. Step 5: Solve for x
    x = 1,320,187,212,036/525,866
  6. Step 6: Final answer
    x = 2,510,501.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.