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Finding the Third Proportional to 2,174,878 and 5,117,532

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Solution

The third proportional to 2,174,878 and 5,117,532 is: 12,041,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174,878 : 5,117,532 = 5,117,532 : x
  2. Step 2: Convert to fraction form
    2,174,878/5,117,532 = 5,117,532/x
  3. Step 3: Cross multiply
    2,174,878x = 5,117,532 × 5,117,532
  4. Step 4: Simplify right side
    2,174,878x = 26,189,133,771,024
  5. Step 5: Solve for x
    x = 26,189,133,771,024/2,174,878
  6. Step 6: Final answer
    x = 12,041,656.48

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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.