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Finding the Third Proportional to 570,140 and 1,230,676

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Solution

The third proportional to 570,140 and 1,230,676 is: 2,656,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,140 : 1,230,676 = 1,230,676 : x
  2. Step 2: Convert to fraction form
    570,140/1,230,676 = 1,230,676/x
  3. Step 3: Cross multiply
    570,140x = 1,230,676 × 1,230,676
  4. Step 4: Simplify right side
    570,140x = 1,514,563,416,976
  5. Step 5: Solve for x
    x = 1,514,563,416,976/570,140
  6. Step 6: Final answer
    x = 2,656,476.33

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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.