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Finding the Third Proportional to 2,095,308 and 4,524,498

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Solution

The third proportional to 2,095,308 and 4,524,498 is: 9,769,963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,308 : 4,524,498 = 4,524,498 : x
  2. Step 2: Convert to fraction form
    2,095,308/4,524,498 = 4,524,498/x
  3. Step 3: Cross multiply
    2,095,308x = 4,524,498 × 4,524,498
  4. Step 4: Simplify right side
    2,095,308x = 20,471,082,152,004
  5. Step 5: Solve for x
    x = 20,471,082,152,004/2,095,308
  6. Step 6: Final answer
    x = 9,769,963.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.