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Finding the Third Proportional to 540,954 and 840,909

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Solution

The third proportional to 540,954 and 840,909 is: 1,307,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,954 : 840,909 = 840,909 : x
  2. Step 2: Convert to fraction form
    540,954/840,909 = 840,909/x
  3. Step 3: Cross multiply
    540,954x = 840,909 × 840,909
  4. Step 4: Simplify right side
    540,954x = 707,127,946,281
  5. Step 5: Solve for x
    x = 707,127,946,281/540,954
  6. Step 6: Final answer
    x = 1,307,186.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.