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Finding the Third Proportional to 1,234,420 and 2,692,904

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Solution

The third proportional to 1,234,420 and 2,692,904 is: 5,874,606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234,420 : 2,692,904 = 2,692,904 : x
  2. Step 2: Convert to fraction form
    1,234,420/2,692,904 = 2,692,904/x
  3. Step 3: Cross multiply
    1,234,420x = 2,692,904 × 2,692,904
  4. Step 4: Simplify right side
    1,234,420x = 7,251,731,953,216
  5. Step 5: Solve for x
    x = 7,251,731,953,216/1,234,420
  6. Step 6: Final answer
    x = 5,874,606.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.