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Finding the Third Proportional to 484,802 and 1,036,996

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Solution

The third proportional to 484,802 and 1,036,996 is: 2,218,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,802 : 1,036,996 = 1,036,996 : x
  2. Step 2: Convert to fraction form
    484,802/1,036,996 = 1,036,996/x
  3. Step 3: Cross multiply
    484,802x = 1,036,996 × 1,036,996
  4. Step 4: Simplify right side
    484,802x = 1,075,360,704,016
  5. Step 5: Solve for x
    x = 1,075,360,704,016/484,802
  6. Step 6: Final answer
    x = 2,218,144.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.