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Finding the Third Proportional to 2,894,978 and 6,174,688

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Solution

The third proportional to 2,894,978 and 6,174,688 is: 13,169,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,978 : 6,174,688 = 6,174,688 : x
  2. Step 2: Convert to fraction form
    2,894,978/6,174,688 = 6,174,688/x
  3. Step 3: Cross multiply
    2,894,978x = 6,174,688 × 6,174,688
  4. Step 4: Simplify right side
    2,894,978x = 38,126,771,897,344
  5. Step 5: Solve for x
    x = 38,126,771,897,344/2,894,978
  6. Step 6: Final answer
    x = 13,169,969.48

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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.