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Finding the Third Proportional to 2,173,724 and 5,114,684

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Solution

The third proportional to 2,173,724 and 5,114,684 is: 12,034,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173,724 : 5,114,684 = 5,114,684 : x
  2. Step 2: Convert to fraction form
    2,173,724/5,114,684 = 5,114,684/x
  3. Step 3: Cross multiply
    2,173,724x = 5,114,684 × 5,114,684
  4. Step 4: Simplify right side
    2,173,724x = 26,159,992,419,856
  5. Step 5: Solve for x
    x = 26,159,992,419,856/2,173,724
  6. Step 6: Final answer
    x = 12,034,643.05

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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.