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Finding the Third Proportional to 763,074 and 1,602,936

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Solution

The third proportional to 763,074 and 1,602,936 is: 3,367,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,074 : 1,602,936 = 1,602,936 : x
  2. Step 2: Convert to fraction form
    763,074/1,602,936 = 1,602,936/x
  3. Step 3: Cross multiply
    763,074x = 1,602,936 × 1,602,936
  4. Step 4: Simplify right side
    763,074x = 2,569,403,820,096
  5. Step 5: Solve for x
    x = 2,569,403,820,096/763,074
  6. Step 6: Final answer
    x = 3,367,175.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.