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Finding the Third Proportional to 570,264 and 1,224,768

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Solution

The third proportional to 570,264 and 1,224,768 is: 2,630,460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,264 : 1,224,768 = 1,224,768 : x
  2. Step 2: Convert to fraction form
    570,264/1,224,768 = 1,224,768/x
  3. Step 3: Cross multiply
    570,264x = 1,224,768 × 1,224,768
  4. Step 4: Simplify right side
    570,264x = 1,500,056,653,824
  5. Step 5: Solve for x
    x = 1,500,056,653,824/570,264
  6. Step 6: Final answer
    x = 2,630,460.02

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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.