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Finding the Third Proportional to 763,093 and 1,506,980

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Solution

The third proportional to 763,093 and 1,506,980 is: 2,976,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,093 : 1,506,980 = 1,506,980 : x
  2. Step 2: Convert to fraction form
    763,093/1,506,980 = 1,506,980/x
  3. Step 3: Cross multiply
    763,093x = 1,506,980 × 1,506,980
  4. Step 4: Simplify right side
    763,093x = 2,270,988,720,400
  5. Step 5: Solve for x
    x = 2,270,988,720,400/763,093
  6. Step 6: Final answer
    x = 2,976,031.39

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.