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Finding the Third Proportional to 749,774 and 1,646,159

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Solution

The third proportional to 749,774 and 1,646,159 is: 3,614,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,774 : 1,646,159 = 1,646,159 : x
  2. Step 2: Convert to fraction form
    749,774/1,646,159 = 1,646,159/x
  3. Step 3: Cross multiply
    749,774x = 1,646,159 × 1,646,159
  4. Step 4: Simplify right side
    749,774x = 2,709,839,453,281
  5. Step 5: Solve for x
    x = 2,709,839,453,281/749,774
  6. Step 6: Final answer
    x = 3,614,208.35

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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.