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Finding the Third Proportional to 542,970 and 1,170,090

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Solution

The third proportional to 542,970 and 1,170,090 is: 2,521,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,970 : 1,170,090 = 1,170,090 : x
  2. Step 2: Convert to fraction form
    542,970/1,170,090 = 1,170,090/x
  3. Step 3: Cross multiply
    542,970x = 1,170,090 × 1,170,090
  4. Step 4: Simplify right side
    542,970x = 1,369,110,608,100
  5. Step 5: Solve for x
    x = 1,369,110,608,100/542,970
  6. Step 6: Final answer
    x = 2,521,521.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.