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Finding the Third Proportional to 815,512 and 1,705,382

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Solution

The third proportional to 815,512 and 1,705,382 is: 3,566,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,512 : 1,705,382 = 1,705,382 : x
  2. Step 2: Convert to fraction form
    815,512/1,705,382 = 1,705,382/x
  3. Step 3: Cross multiply
    815,512x = 1,705,382 × 1,705,382
  4. Step 4: Simplify right side
    815,512x = 2,908,327,765,924
  5. Step 5: Solve for x
    x = 2,908,327,765,924/815,512
  6. Step 6: Final answer
    x = 3,566,259.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.