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Finding the Third Proportional to 702,029 and 1,003,206

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Solution

The third proportional to 702,029 and 1,003,206 is: 1,433,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,029 : 1,003,206 = 1,003,206 : x
  2. Step 2: Convert to fraction form
    702,029/1,003,206 = 1,003,206/x
  3. Step 3: Cross multiply
    702,029x = 1,003,206 × 1,003,206
  4. Step 4: Simplify right side
    702,029x = 1,006,422,278,436
  5. Step 5: Solve for x
    x = 1,006,422,278,436/702,029
  6. Step 6: Final answer
    x = 1,433,590.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.