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Finding the Third Proportional to 274,790,786 and 592,627,076

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Solution

The third proportional to 274,790,786 and 592,627,076 is: 1,278,088,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,790,786 : 592,627,076 = 592,627,076 : x
  2. Step 2: Convert to fraction form
    274,790,786/592,627,076 = 592,627,076/x
  3. Step 3: Cross multiply
    274,790,786x = 592,627,076 × 592,627,076
  4. Step 4: Simplify right side
    274,790,786x = 351,206,851,208,309,760
  5. Step 5: Solve for x
    x = 351,206,851,208,309,760/274,790,786
  6. Step 6: Final answer
    x = 1,278,088,164.17

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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.