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Finding the Third Proportional to 869,576 and 1,143,488

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Solution

The third proportional to 869,576 and 1,143,488 is: 1,503,680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,576 : 1,143,488 = 1,143,488 : x
  2. Step 2: Convert to fraction form
    869,576/1,143,488 = 1,143,488/x
  3. Step 3: Cross multiply
    869,576x = 1,143,488 × 1,143,488
  4. Step 4: Simplify right side
    869,576x = 1,307,564,806,144
  5. Step 5: Solve for x
    x = 1,307,564,806,144/869,576
  6. Step 6: Final answer
    x = 1,503,680.88

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.