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Finding the Third Proportional to 540,388 and 810,870

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Solution

The third proportional to 540,388 and 810,870 is: 1,216,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,388 : 810,870 = 810,870 : x
  2. Step 2: Convert to fraction form
    540,388/810,870 = 810,870/x
  3. Step 3: Cross multiply
    540,388x = 810,870 × 810,870
  4. Step 4: Simplify right side
    540,388x = 657,510,156,900
  5. Step 5: Solve for x
    x = 657,510,156,900/540,388
  6. Step 6: Final answer
    x = 1,216,737.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.