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Finding the Third Proportional to 1,749,410 and 3,841,252

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Solution

The third proportional to 1,749,410 and 3,841,252 is: 8,434,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,410 : 3,841,252 = 3,841,252 : x
  2. Step 2: Convert to fraction form
    1,749,410/3,841,252 = 3,841,252/x
  3. Step 3: Cross multiply
    1,749,410x = 3,841,252 × 3,841,252
  4. Step 4: Simplify right side
    1,749,410x = 14,755,216,927,504
  5. Step 5: Solve for x
    x = 14,755,216,927,504/1,749,410
  6. Step 6: Final answer
    x = 8,434,396.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.