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Finding the Third Proportional to 2,174,878 and 5,117,533

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Solution

The third proportional to 2,174,878 and 5,117,533 is: 12,041,661.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174,878 : 5,117,533 = 5,117,533 : x
  2. Step 2: Convert to fraction form
    2,174,878/5,117,533 = 5,117,533/x
  3. Step 3: Cross multiply
    2,174,878x = 5,117,533 × 5,117,533
  4. Step 4: Simplify right side
    2,174,878x = 26,189,144,006,089
  5. Step 5: Solve for x
    x = 26,189,144,006,089/2,174,878
  6. Step 6: Final answer
    x = 12,041,661.19

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.