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Finding the Third Proportional to 570,402 and 1,231,200

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Solution

The third proportional to 570,402 and 1,231,200 is: 2,657,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,402 : 1,231,200 = 1,231,200 : x
  2. Step 2: Convert to fraction form
    570,402/1,231,200 = 1,231,200/x
  3. Step 3: Cross multiply
    570,402x = 1,231,200 × 1,231,200
  4. Step 4: Simplify right side
    570,402x = 1,515,853,440,000
  5. Step 5: Solve for x
    x = 1,515,853,440,000/570,402
  6. Step 6: Final answer
    x = 2,657,517.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.