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Finding the Third Proportional to 570,521 and 1,236,175

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Solution

The third proportional to 570,521 and 1,236,175 is: 2,678,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,521 : 1,236,175 = 1,236,175 : x
  2. Step 2: Convert to fraction form
    570,521/1,236,175 = 1,236,175/x
  3. Step 3: Cross multiply
    570,521x = 1,236,175 × 1,236,175
  4. Step 4: Simplify right side
    570,521x = 1,528,128,630,625
  5. Step 5: Solve for x
    x = 1,528,128,630,625/570,521
  6. Step 6: Final answer
    x = 2,678,479.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.