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Finding the Third Proportional to 749,828 and 1,617,754

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Solution

The third proportional to 749,828 and 1,617,754 is: 3,490,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,828 : 1,617,754 = 1,617,754 : x
  2. Step 2: Convert to fraction form
    749,828/1,617,754 = 1,617,754/x
  3. Step 3: Cross multiply
    749,828x = 1,617,754 × 1,617,754
  4. Step 4: Simplify right side
    749,828x = 2,617,128,004,516
  5. Step 5: Solve for x
    x = 2,617,128,004,516/749,828
  6. Step 6: Final answer
    x = 3,490,304.45

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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.