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Finding the Third Proportional to 570,270 and 1,224,780

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Solution

The third proportional to 570,270 and 1,224,780 is: 2,630,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,270 : 1,224,780 = 1,224,780 : x
  2. Step 2: Convert to fraction form
    570,270/1,224,780 = 1,224,780/x
  3. Step 3: Cross multiply
    570,270x = 1,224,780 × 1,224,780
  4. Step 4: Simplify right side
    570,270x = 1,500,086,048,400
  5. Step 5: Solve for x
    x = 1,500,086,048,400/570,270
  6. Step 6: Final answer
    x = 2,630,483.89

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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.