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Finding the Third Proportional to 869,580 and 1,143,495

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Solution

The third proportional to 869,580 and 1,143,495 is: 1,503,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,580 : 1,143,495 = 1,143,495 : x
  2. Step 2: Convert to fraction form
    869,580/1,143,495 = 1,143,495/x
  3. Step 3: Cross multiply
    869,580x = 1,143,495 × 1,143,495
  4. Step 4: Simplify right side
    869,580x = 1,307,580,815,025
  5. Step 5: Solve for x
    x = 1,307,580,815,025/869,580
  6. Step 6: Final answer
    x = 1,503,692.37

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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.