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Finding the Third Proportional to 1,031,454 and 1,576,834

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Solution

The third proportional to 1,031,454 and 1,576,834 is: 2,410,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,454 : 1,576,834 = 1,576,834 : x
  2. Step 2: Convert to fraction form
    1,031,454/1,576,834 = 1,576,834/x
  3. Step 3: Cross multiply
    1,031,454x = 1,576,834 × 1,576,834
  4. Step 4: Simplify right side
    1,031,454x = 2,486,405,463,556
  5. Step 5: Solve for x
    x = 2,486,405,463,556/1,031,454
  6. Step 6: Final answer
    x = 2,410,582.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.