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Finding the Third Proportional to 2,857,472 and 6,112,645

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Solution

The third proportional to 2,857,472 and 6,112,645 is: 13,076,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,472 : 6,112,645 = 6,112,645 : x
  2. Step 2: Convert to fraction form
    2,857,472/6,112,645 = 6,112,645/x
  3. Step 3: Cross multiply
    2,857,472x = 6,112,645 × 6,112,645
  4. Step 4: Simplify right side
    2,857,472x = 37,364,428,896,025
  5. Step 5: Solve for x
    x = 37,364,428,896,025/2,857,472
  6. Step 6: Final answer
    x = 13,076,043.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.