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Finding the Third Proportional to 818,347 and 1,778,342

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Solution

The third proportional to 818,347 and 1,778,342 is: 3,864,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,347 : 1,778,342 = 1,778,342 : x
  2. Step 2: Convert to fraction form
    818,347/1,778,342 = 1,778,342/x
  3. Step 3: Cross multiply
    818,347x = 1,778,342 × 1,778,342
  4. Step 4: Simplify right side
    818,347x = 3,162,500,268,964
  5. Step 5: Solve for x
    x = 3,162,500,268,964/818,347
  6. Step 6: Final answer
    x = 3,864,497.91

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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.