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Finding the Third Proportional to 570,420 and 1,214,248

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Solution

The third proportional to 570,420 and 1,214,248 is: 2,584,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,420 : 1,214,248 = 1,214,248 : x
  2. Step 2: Convert to fraction form
    570,420/1,214,248 = 1,214,248/x
  3. Step 3: Cross multiply
    570,420x = 1,214,248 × 1,214,248
  4. Step 4: Simplify right side
    570,420x = 1,474,398,205,504
  5. Step 5: Solve for x
    x = 1,474,398,205,504/570,420
  6. Step 6: Final answer
    x = 2,584,758.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.