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Finding the Third Proportional to 540,990 and 840,978

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Solution

The third proportional to 540,990 and 840,978 is: 1,307,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,990 : 840,978 = 840,978 : x
  2. Step 2: Convert to fraction form
    540,990/840,978 = 840,978/x
  3. Step 3: Cross multiply
    540,990x = 840,978 × 840,978
  4. Step 4: Simplify right side
    540,990x = 707,243,996,484
  5. Step 5: Solve for x
    x = 707,243,996,484/540,990
  6. Step 6: Final answer
    x = 1,307,314.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.