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Finding the Third Proportional to 570,813 and 1,229,913

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Solution

The third proportional to 570,813 and 1,229,913 is: 2,650,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,813 : 1,229,913 = 1,229,913 : x
  2. Step 2: Convert to fraction form
    570,813/1,229,913 = 1,229,913/x
  3. Step 3: Cross multiply
    570,813x = 1,229,913 × 1,229,913
  4. Step 4: Simplify right side
    570,813x = 1,512,685,987,569
  5. Step 5: Solve for x
    x = 1,512,685,987,569/570,813
  6. Step 6: Final answer
    x = 2,650,055.25

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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.