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Finding the Third Proportional to 977,661 and 1,431,491

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Solution

The third proportional to 977,661 and 1,431,491 is: 2,095,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,661 : 1,431,491 = 1,431,491 : x
  2. Step 2: Convert to fraction form
    977,661/1,431,491 = 1,431,491/x
  3. Step 3: Cross multiply
    977,661x = 1,431,491 × 1,431,491
  4. Step 4: Simplify right side
    977,661x = 2,049,166,483,081
  5. Step 5: Solve for x
    x = 2,049,166,483,081/977,661
  6. Step 6: Final answer
    x = 2,095,988.78

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.