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Finding the Third Proportional to 540,909 and 856,516

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Solution

The third proportional to 540,909 and 856,516 is: 1,356,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,909 : 856,516 = 856,516 : x
  2. Step 2: Convert to fraction form
    540,909/856,516 = 856,516/x
  3. Step 3: Cross multiply
    540,909x = 856,516 × 856,516
  4. Step 4: Simplify right side
    540,909x = 733,619,658,256
  5. Step 5: Solve for x
    x = 733,619,658,256/540,909
  6. Step 6: Final answer
    x = 1,356,271.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.