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Finding the Third Proportional to 540,554 and 847,965

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Solution

The third proportional to 540,554 and 847,965 is: 1,330,199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,554 : 847,965 = 847,965 : x
  2. Step 2: Convert to fraction form
    540,554/847,965 = 847,965/x
  3. Step 3: Cross multiply
    540,554x = 847,965 × 847,965
  4. Step 4: Simplify right side
    540,554x = 719,044,641,225
  5. Step 5: Solve for x
    x = 719,044,641,225/540,554
  6. Step 6: Final answer
    x = 1,330,199.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.