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Finding the Third Proportional to 827,058 and 1,276,854

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Solution

The third proportional to 827,058 and 1,276,854 is: 1,971,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,058 : 1,276,854 = 1,276,854 : x
  2. Step 2: Convert to fraction form
    827,058/1,276,854 = 1,276,854/x
  3. Step 3: Cross multiply
    827,058x = 1,276,854 × 1,276,854
  4. Step 4: Simplify right side
    827,058x = 1,630,356,137,316
  5. Step 5: Solve for x
    x = 1,630,356,137,316/827,058
  6. Step 6: Final answer
    x = 1,971,271.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.