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Finding the Third Proportional to 570,204 and 1,230,804

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Solution

The third proportional to 570,204 and 1,230,804 is: 2,656,730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,204 : 1,230,804 = 1,230,804 : x
  2. Step 2: Convert to fraction form
    570,204/1,230,804 = 1,230,804/x
  3. Step 3: Cross multiply
    570,204x = 1,230,804 × 1,230,804
  4. Step 4: Simplify right side
    570,204x = 1,514,878,486,416
  5. Step 5: Solve for x
    x = 1,514,878,486,416/570,204
  6. Step 6: Final answer
    x = 2,656,730.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.