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Finding the Third Proportional to 532,866 and 1,114,996

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Solution

The third proportional to 532,866 and 1,114,996 is: 2,333,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,866 : 1,114,996 = 1,114,996 : x
  2. Step 2: Convert to fraction form
    532,866/1,114,996 = 1,114,996/x
  3. Step 3: Cross multiply
    532,866x = 1,114,996 × 1,114,996
  4. Step 4: Simplify right side
    532,866x = 1,243,216,080,016
  5. Step 5: Solve for x
    x = 1,243,216,080,016/532,866
  6. Step 6: Final answer
    x = 2,333,074.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.