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Finding the Third Proportional to 869,567 and 1,143,476.25

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Solution

The third proportional to 869,567 and 1,143,476.25 is: 1,503,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,567 : 1,143,476.25 = 1,143,476.25 : x
  2. Step 2: Convert to fraction form
    869,567/1,143,476.25 = 1,143,476.25/x
  3. Step 3: Cross multiply
    869,567x = 1,143,476.25 × 1,143,476.25
  4. Step 4: Simplify right side
    869,567x = 1,307,537,934,314.06
  5. Step 5: Solve for x
    x = 1,307,537,934,314.06/869,567
  6. Step 6: Final answer
    x = 1,503,665.54

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Why These Related Problems?

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