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Finding the Third Proportional to 977,715 and 1,410,522.75

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Solution

The third proportional to 977,715 and 1,410,522.75 is: 2,034,922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,715 : 1,410,522.75 = 1,410,522.75 : x
  2. Step 2: Convert to fraction form
    977,715/1,410,522.75 = 1,410,522.75/x
  3. Step 3: Cross multiply
    977,715x = 1,410,522.75 × 1,410,522.75
  4. Step 4: Simplify right side
    977,715x = 1,989,574,428,267.56
  5. Step 5: Solve for x
    x = 1,989,574,428,267.56/977,715
  6. Step 6: Final answer
    x = 2,034,922.68

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.