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Finding the Third Proportional to 692,274 and 1,502,645

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Solution

The third proportional to 692,274 and 1,502,645 is: 3,261,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,274 : 1,502,645 = 1,502,645 : x
  2. Step 2: Convert to fraction form
    692,274/1,502,645 = 1,502,645/x
  3. Step 3: Cross multiply
    692,274x = 1,502,645 × 1,502,645
  4. Step 4: Simplify right side
    692,274x = 2,257,941,996,025
  5. Step 5: Solve for x
    x = 2,257,941,996,025/692,274
  6. Step 6: Final answer
    x = 3,261,630.50

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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.