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Finding the Third Proportional to 581,652 and 869,004

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Solution

The third proportional to 581,652 and 869,004 is: 1,298,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,652 : 869,004 = 869,004 : x
  2. Step 2: Convert to fraction form
    581,652/869,004 = 869,004/x
  3. Step 3: Cross multiply
    581,652x = 869,004 × 869,004
  4. Step 4: Simplify right side
    581,652x = 755,167,952,016
  5. Step 5: Solve for x
    x = 755,167,952,016/581,652
  6. Step 6: Final answer
    x = 1,298,315.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.