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Finding the Third Proportional to 527,017,986 and 1,144,760,202

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Solution

The third proportional to 527,017,986 and 1,144,760,202 is: 2,486,586,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,017,986 : 1,144,760,202 = 1,144,760,202 : x
  2. Step 2: Convert to fraction form
    527,017,986/1,144,760,202 = 1,144,760,202/x
  3. Step 3: Cross multiply
    527,017,986x = 1,144,760,202 × 1,144,760,202
  4. Step 4: Simplify right side
    527,017,986x = 1,310,475,920,083,080,704
  5. Step 5: Solve for x
    x = 1,310,475,920,083,080,704/527,017,986
  6. Step 6: Final answer
    x = 2,486,586,710.31

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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.