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Finding the Third Proportional to 539,437 and 1,163,007

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Solution

The third proportional to 539,437 and 1,163,007 is: 2,507,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,437 : 1,163,007 = 1,163,007 : x
  2. Step 2: Convert to fraction form
    539,437/1,163,007 = 1,163,007/x
  3. Step 3: Cross multiply
    539,437x = 1,163,007 × 1,163,007
  4. Step 4: Simplify right side
    539,437x = 1,352,585,282,049
  5. Step 5: Solve for x
    x = 1,352,585,282,049/539,437
  6. Step 6: Final answer
    x = 2,507,401.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.