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Finding the Third Proportional to 932,321 and 2,041,816

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Solution

The third proportional to 932,321 and 2,041,816 is: 4,471,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,321 : 2,041,816 = 2,041,816 : x
  2. Step 2: Convert to fraction form
    932,321/2,041,816 = 2,041,816/x
  3. Step 3: Cross multiply
    932,321x = 2,041,816 × 2,041,816
  4. Step 4: Simplify right side
    932,321x = 4,169,012,577,856
  5. Step 5: Solve for x
    x = 4,169,012,577,856/932,321
  6. Step 6: Final answer
    x = 4,471,649.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.