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Finding the Third Proportional to 2,153,657 and 3,378,927

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Solution

The third proportional to 2,153,657 and 3,378,927 is: 5,301,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,657 : 3,378,927 = 3,378,927 : x
  2. Step 2: Convert to fraction form
    2,153,657/3,378,927 = 3,378,927/x
  3. Step 3: Cross multiply
    2,153,657x = 3,378,927 × 3,378,927
  4. Step 4: Simplify right side
    2,153,657x = 11,417,147,671,329
  5. Step 5: Solve for x
    x = 11,417,147,671,329/2,153,657
  6. Step 6: Final answer
    x = 5,301,284.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.