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Finding the Third Proportional to 1,586,537 and 3,425,536

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Solution

The third proportional to 1,586,537 and 3,425,536 is: 7,396,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,537 : 3,425,536 = 3,425,536 : x
  2. Step 2: Convert to fraction form
    1,586,537/3,425,536 = 3,425,536/x
  3. Step 3: Cross multiply
    1,586,537x = 3,425,536 × 3,425,536
  4. Step 4: Simplify right side
    1,586,537x = 11,734,296,887,296
  5. Step 5: Solve for x
    x = 11,734,296,887,296/1,586,537
  6. Step 6: Final answer
    x = 7,396,169.70

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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.