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Finding the Third Proportional to 540,108 and 870,014.25

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Solution

The third proportional to 540,108 and 870,014.25 is: 1,401,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,108 : 870,014.25 = 870,014.25 : x
  2. Step 2: Convert to fraction form
    540,108/870,014.25 = 870,014.25/x
  3. Step 3: Cross multiply
    540,108x = 870,014.25 × 870,014.25
  4. Step 4: Simplify right side
    540,108x = 756,924,795,203.06
  5. Step 5: Solve for x
    x = 756,924,795,203.06/540,108
  6. Step 6: Final answer
    x = 1,401,432.30

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.