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Finding the Third Proportional to 570,258 and 1,224,756

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Solution

The third proportional to 570,258 and 1,224,756 is: 2,630,436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,258 : 1,224,756 = 1,224,756 : x
  2. Step 2: Convert to fraction form
    570,258/1,224,756 = 1,224,756/x
  3. Step 3: Cross multiply
    570,258x = 1,224,756 × 1,224,756
  4. Step 4: Simplify right side
    570,258x = 1,500,027,259,536
  5. Step 5: Solve for x
    x = 1,500,027,259,536/570,258
  6. Step 6: Final answer
    x = 2,630,436.15

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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.