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Finding the Third Proportional to 540,964 and 842,064

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Solution

The third proportional to 540,964 and 842,064 is: 1,310,755.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,964 : 842,064 = 842,064 : x
  2. Step 2: Convert to fraction form
    540,964/842,064 = 842,064/x
  3. Step 3: Cross multiply
    540,964x = 842,064 × 842,064
  4. Step 4: Simplify right side
    540,964x = 709,071,780,096
  5. Step 5: Solve for x
    x = 709,071,780,096/540,964
  6. Step 6: Final answer
    x = 1,310,755.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.