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Finding the Third Proportional to 551,428 and 1,194,462

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Solution

The third proportional to 551,428 and 1,194,462 is: 2,587,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,428 : 1,194,462 = 1,194,462 : x
  2. Step 2: Convert to fraction form
    551,428/1,194,462 = 1,194,462/x
  3. Step 3: Cross multiply
    551,428x = 1,194,462 × 1,194,462
  4. Step 4: Simplify right side
    551,428x = 1,426,739,469,444
  5. Step 5: Solve for x
    x = 1,426,739,469,444/551,428
  6. Step 6: Final answer
    x = 2,587,354.05

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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.