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Finding the Third Proportional to 2,857,470 and 6,112,641

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Solution

The third proportional to 2,857,470 and 6,112,641 is: 13,076,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,470 : 6,112,641 = 6,112,641 : x
  2. Step 2: Convert to fraction form
    2,857,470/6,112,641 = 6,112,641/x
  3. Step 3: Cross multiply
    2,857,470x = 6,112,641 × 6,112,641
  4. Step 4: Simplify right side
    2,857,470x = 37,364,379,994,881
  5. Step 5: Solve for x
    x = 37,364,379,994,881/2,857,470
  6. Step 6: Final answer
    x = 13,076,035.79

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