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Finding the Third Proportional to 2,105,600 and 3,144,362

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Solution

The third proportional to 2,105,600 and 3,144,362 is: 4,695,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,600 : 3,144,362 = 3,144,362 : x
  2. Step 2: Convert to fraction form
    2,105,600/3,144,362 = 3,144,362/x
  3. Step 3: Cross multiply
    2,105,600x = 3,144,362 × 3,144,362
  4. Step 4: Simplify right side
    2,105,600x = 9,887,012,387,044
  5. Step 5: Solve for x
    x = 9,887,012,387,044/2,105,600
  6. Step 6: Final answer
    x = 4,695,579.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.