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Finding the Third Proportional to 545,427 and 1,166,670

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Solution

The third proportional to 545,427 and 1,166,670 is: 2,495,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,427 : 1,166,670 = 1,166,670 : x
  2. Step 2: Convert to fraction form
    545,427/1,166,670 = 1,166,670/x
  3. Step 3: Cross multiply
    545,427x = 1,166,670 × 1,166,670
  4. Step 4: Simplify right side
    545,427x = 1,361,118,888,900
  5. Step 5: Solve for x
    x = 1,361,118,888,900/545,427
  6. Step 6: Final answer
    x = 2,495,510.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.