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Finding the Third Proportional to 749,837 and 1,617,772

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Solution

The third proportional to 749,837 and 1,617,772 is: 3,490,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,837 : 1,617,772 = 1,617,772 : x
  2. Step 2: Convert to fraction form
    749,837/1,617,772 = 1,617,772/x
  3. Step 3: Cross multiply
    749,837x = 1,617,772 × 1,617,772
  4. Step 4: Simplify right side
    749,837x = 2,617,186,243,984
  5. Step 5: Solve for x
    x = 2,617,186,243,984/749,837
  6. Step 6: Final answer
    x = 3,490,340.23

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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.