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Finding the Third Proportional to 841,324 and 1,824,600

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Solution

The third proportional to 841,324 and 1,824,600 is: 3,957,054.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,324 : 1,824,600 = 1,824,600 : x
  2. Step 2: Convert to fraction form
    841,324/1,824,600 = 1,824,600/x
  3. Step 3: Cross multiply
    841,324x = 1,824,600 × 1,824,600
  4. Step 4: Simplify right side
    841,324x = 3,329,165,160,000
  5. Step 5: Solve for x
    x = 3,329,165,160,000/841,324
  6. Step 6: Final answer
    x = 3,957,054.79

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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.