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Finding the Third Proportional to 1,537,497 and 3,364,569

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Solution

The third proportional to 1,537,497 and 3,364,569 is: 7,362,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,497 : 3,364,569 = 3,364,569 : x
  2. Step 2: Convert to fraction form
    1,537,497/3,364,569 = 3,364,569/x
  3. Step 3: Cross multiply
    1,537,497x = 3,364,569 × 3,364,569
  4. Step 4: Simplify right side
    1,537,497x = 11,320,324,555,761
  5. Step 5: Solve for x
    x = 11,320,324,555,761/1,537,497
  6. Step 6: Final answer
    x = 7,362,827.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.