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Finding the Third Proportional to 759,644 and 1,202,889

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Solution

The third proportional to 759,644 and 1,202,889 is: 1,904,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,644 : 1,202,889 = 1,202,889 : x
  2. Step 2: Convert to fraction form
    759,644/1,202,889 = 1,202,889/x
  3. Step 3: Cross multiply
    759,644x = 1,202,889 × 1,202,889
  4. Step 4: Simplify right side
    759,644x = 1,446,941,946,321
  5. Step 5: Solve for x
    x = 1,446,941,946,321/759,644
  6. Step 6: Final answer
    x = 1,904,763.21

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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.