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Finding the Third Proportional to 2,457,812 and 5,346,460

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Solution

The third proportional to 2,457,812 and 5,346,460 is: 11,630,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,812 : 5,346,460 = 5,346,460 : x
  2. Step 2: Convert to fraction form
    2,457,812/5,346,460 = 5,346,460/x
  3. Step 3: Cross multiply
    2,457,812x = 5,346,460 × 5,346,460
  4. Step 4: Simplify right side
    2,457,812x = 28,584,634,531,600
  5. Step 5: Solve for x
    x = 28,584,634,531,600/2,457,812
  6. Step 6: Final answer
    x = 11,630,114.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.