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Finding the Third Proportional to 623,469 and 1,344,288

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Solution

The third proportional to 623,469 and 1,344,288 is: 2,898,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,469 : 1,344,288 = 1,344,288 : x
  2. Step 2: Convert to fraction form
    623,469/1,344,288 = 1,344,288/x
  3. Step 3: Cross multiply
    623,469x = 1,344,288 × 1,344,288
  4. Step 4: Simplify right side
    623,469x = 1,807,110,226,944
  5. Step 5: Solve for x
    x = 1,807,110,226,944/623,469
  6. Step 6: Final answer
    x = 2,898,476.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.