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Finding the Third Proportional to 959,820 and 2,222,046

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Solution

The third proportional to 959,820 and 2,222,046 is: 5,144,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,820 : 2,222,046 = 2,222,046 : x
  2. Step 2: Convert to fraction form
    959,820/2,222,046 = 2,222,046/x
  3. Step 3: Cross multiply
    959,820x = 2,222,046 × 2,222,046
  4. Step 4: Simplify right side
    959,820x = 4,937,488,426,116
  5. Step 5: Solve for x
    x = 4,937,488,426,116/959,820
  6. Step 6: Final answer
    x = 5,144,181.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.