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Finding the Third Proportional to 2,894,146 and 6,172,564

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Solution

The third proportional to 2,894,146 and 6,172,564 is: 13,164,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,146 : 6,172,564 = 6,172,564 : x
  2. Step 2: Convert to fraction form
    2,894,146/6,172,564 = 6,172,564/x
  3. Step 3: Cross multiply
    2,894,146x = 6,172,564 × 6,172,564
  4. Step 4: Simplify right side
    2,894,146x = 38,100,546,334,096
  5. Step 5: Solve for x
    x = 38,100,546,334,096/2,894,146
  6. Step 6: Final answer
    x = 13,164,693.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.