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Finding the Third Proportional to 500,264,286 and 1,086,646,233

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Solution

The third proportional to 500,264,286 and 1,086,646,233 is: 2,360,352,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,264,286 : 1,086,646,233 = 1,086,646,233 : x
  2. Step 2: Convert to fraction form
    500,264,286/1,086,646,233 = 1,086,646,233/x
  3. Step 3: Cross multiply
    500,264,286x = 1,086,646,233 × 1,086,646,233
  4. Step 4: Simplify right side
    500,264,286x = 1,180,800,035,693,090,304
  5. Step 5: Solve for x
    x = 1,180,800,035,693,090,304/500,264,286
  6. Step 6: Final answer
    x = 2,360,352,455.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.