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Finding the Third Proportional to 902,178 and 1,945,386

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Solution

The third proportional to 902,178 and 1,945,386 is: 4,194,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,178 : 1,945,386 = 1,945,386 : x
  2. Step 2: Convert to fraction form
    902,178/1,945,386 = 1,945,386/x
  3. Step 3: Cross multiply
    902,178x = 1,945,386 × 1,945,386
  4. Step 4: Simplify right side
    902,178x = 3,784,526,688,996
  5. Step 5: Solve for x
    x = 3,784,526,688,996/902,178
  6. Step 6: Final answer
    x = 4,194,878.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.