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Finding the Third Proportional to 515,140 and 1,133,050

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Solution

The third proportional to 515,140 and 1,133,050 is: 2,492,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,140 : 1,133,050 = 1,133,050 : x
  2. Step 2: Convert to fraction form
    515,140/1,133,050 = 1,133,050/x
  3. Step 3: Cross multiply
    515,140x = 1,133,050 × 1,133,050
  4. Step 4: Simplify right side
    515,140x = 1,283,802,302,500
  5. Step 5: Solve for x
    x = 1,283,802,302,500/515,140
  6. Step 6: Final answer
    x = 2,492,142.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.