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Finding the Third Proportional to 5,201,215 and 6,901,455

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Solution

The third proportional to 5,201,215 and 6,901,455 is: 9,157,491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201,215 : 6,901,455 = 6,901,455 : x
  2. Step 2: Convert to fraction form
    5,201,215/6,901,455 = 6,901,455/x
  3. Step 3: Cross multiply
    5,201,215x = 6,901,455 × 6,901,455
  4. Step 4: Simplify right side
    5,201,215x = 47,630,081,117,025
  5. Step 5: Solve for x
    x = 47,630,081,117,025/5,201,215
  6. Step 6: Final answer
    x = 9,157,491.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.