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Finding the Third Proportional to 869,587 and 1,883,929

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Solution

The third proportional to 869,587 and 1,883,929 is: 4,081,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,587 : 1,883,929 = 1,883,929 : x
  2. Step 2: Convert to fraction form
    869,587/1,883,929 = 1,883,929/x
  3. Step 3: Cross multiply
    869,587x = 1,883,929 × 1,883,929
  4. Step 4: Simplify right side
    869,587x = 3,549,188,477,041
  5. Step 5: Solve for x
    x = 3,549,188,477,041/869,587
  6. Step 6: Final answer
    x = 4,081,464.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.