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Finding the Third Proportional to 574,135 and 1,341,010

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Solution

The third proportional to 574,135 and 1,341,010 is: 3,132,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,135 : 1,341,010 = 1,341,010 : x
  2. Step 2: Convert to fraction form
    574,135/1,341,010 = 1,341,010/x
  3. Step 3: Cross multiply
    574,135x = 1,341,010 × 1,341,010
  4. Step 4: Simplify right side
    574,135x = 1,798,307,820,100
  5. Step 5: Solve for x
    x = 1,798,307,820,100/574,135
  6. Step 6: Final answer
    x = 3,132,203.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.