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Finding the Third Proportional to 570,764 and 1,229,828

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Solution

The third proportional to 570,764 and 1,229,828 is: 2,649,916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,764 : 1,229,828 = 1,229,828 : x
  2. Step 2: Convert to fraction form
    570,764/1,229,828 = 1,229,828/x
  3. Step 3: Cross multiply
    570,764x = 1,229,828 × 1,229,828
  4. Step 4: Simplify right side
    570,764x = 1,512,476,909,584
  5. Step 5: Solve for x
    x = 1,512,476,909,584/570,764
  6. Step 6: Final answer
    x = 2,649,916.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.