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Finding the Third Proportional to 570,143 and 1,230,682

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Solution

The third proportional to 570,143 and 1,230,682 is: 2,656,488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,143 : 1,230,682 = 1,230,682 : x
  2. Step 2: Convert to fraction form
    570,143/1,230,682 = 1,230,682/x
  3. Step 3: Cross multiply
    570,143x = 1,230,682 × 1,230,682
  4. Step 4: Simplify right side
    570,143x = 1,514,578,185,124
  5. Step 5: Solve for x
    x = 1,514,578,185,124/570,143
  6. Step 6: Final answer
    x = 2,656,488.26

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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.