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Finding the Third Proportional to 2,298,342 and 4,662,344

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Solution

The third proportional to 2,298,342 and 4,662,344 is: 9,457,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298,342 : 4,662,344 = 4,662,344 : x
  2. Step 2: Convert to fraction form
    2,298,342/4,662,344 = 4,662,344/x
  3. Step 3: Cross multiply
    2,298,342x = 4,662,344 × 4,662,344
  4. Step 4: Simplify right side
    2,298,342x = 21,737,451,574,336
  5. Step 5: Solve for x
    x = 21,737,451,574,336/2,298,342
  6. Step 6: Final answer
    x = 9,457,883.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.