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Finding the Third Proportional to 759,648 and 1,202,892

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Solution

The third proportional to 759,648 and 1,202,892 is: 1,904,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,648 : 1,202,892 = 1,202,892 : x
  2. Step 2: Convert to fraction form
    759,648/1,202,892 = 1,202,892/x
  3. Step 3: Cross multiply
    759,648x = 1,202,892 × 1,202,892
  4. Step 4: Simplify right side
    759,648x = 1,446,949,163,664
  5. Step 5: Solve for x
    x = 1,446,949,163,664/759,648
  6. Step 6: Final answer
    x = 1,904,762.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.