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Finding the Third Proportional to 1,031,447 and 1,576,817

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Solution

The third proportional to 1,031,447 and 1,576,817 is: 2,410,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,447 : 1,576,817 = 1,576,817 : x
  2. Step 2: Convert to fraction form
    1,031,447/1,576,817 = 1,576,817/x
  3. Step 3: Cross multiply
    1,031,447x = 1,576,817 × 1,576,817
  4. Step 4: Simplify right side
    1,031,447x = 2,486,351,851,489
  5. Step 5: Solve for x
    x = 2,486,351,851,489/1,031,447
  6. Step 6: Final answer
    x = 2,410,547.37

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Why These Related Problems?

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