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Finding the Third Proportional to 539,464 and 1,163,066

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Solution

The third proportional to 539,464 and 1,163,066 is: 2,507,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,464 : 1,163,066 = 1,163,066 : x
  2. Step 2: Convert to fraction form
    539,464/1,163,066 = 1,163,066/x
  3. Step 3: Cross multiply
    539,464x = 1,163,066 × 1,163,066
  4. Step 4: Simplify right side
    539,464x = 1,352,722,520,356
  5. Step 5: Solve for x
    x = 1,352,722,520,356/539,464
  6. Step 6: Final answer
    x = 2,507,530.66

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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.