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Finding the Third Proportional to 3,135,464 and 4,582,212

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Solution

The third proportional to 3,135,464 and 4,582,212 is: 6,696,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135,464 : 4,582,212 = 4,582,212 : x
  2. Step 2: Convert to fraction form
    3,135,464/4,582,212 = 4,582,212/x
  3. Step 3: Cross multiply
    3,135,464x = 4,582,212 × 4,582,212
  4. Step 4: Simplify right side
    3,135,464x = 20,996,666,812,944
  5. Step 5: Solve for x
    x = 20,996,666,812,944/3,135,464
  6. Step 6: Final answer
    x = 6,696,510.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.