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Finding the Third Proportional to 894,098 and 1,916,034

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Solution

The third proportional to 894,098 and 1,916,034 is: 4,106,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,098 : 1,916,034 = 1,916,034 : x
  2. Step 2: Convert to fraction form
    894,098/1,916,034 = 1,916,034/x
  3. Step 3: Cross multiply
    894,098x = 1,916,034 × 1,916,034
  4. Step 4: Simplify right side
    894,098x = 3,671,186,289,156
  5. Step 5: Solve for x
    x = 3,671,186,289,156/894,098
  6. Step 6: Final answer
    x = 4,106,022.26

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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.