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Finding the Third Proportional to 876,064 and 1,821,863

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Solution

The third proportional to 876,064 and 1,821,863 is: 3,788,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,064 : 1,821,863 = 1,821,863 : x
  2. Step 2: Convert to fraction form
    876,064/1,821,863 = 1,821,863/x
  3. Step 3: Cross multiply
    876,064x = 1,821,863 × 1,821,863
  4. Step 4: Simplify right side
    876,064x = 3,319,184,790,769
  5. Step 5: Solve for x
    x = 3,319,184,790,769/876,064
  6. Step 6: Final answer
    x = 3,788,746.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.