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Finding the Third Proportional to 791,084 and 1,705,364

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Solution

The third proportional to 791,084 and 1,705,364 is: 3,676,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,084 : 1,705,364 = 1,705,364 : x
  2. Step 2: Convert to fraction form
    791,084/1,705,364 = 1,705,364/x
  3. Step 3: Cross multiply
    791,084x = 1,705,364 × 1,705,364
  4. Step 4: Simplify right side
    791,084x = 2,908,266,372,496
  5. Step 5: Solve for x
    x = 2,908,266,372,496/791,084
  6. Step 6: Final answer
    x = 3,676,305.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.