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Finding the Third Proportional to 815,509 and 1,705,376

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Solution

The third proportional to 815,509 and 1,705,376 is: 3,566,247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,509 : 1,705,376 = 1,705,376 : x
  2. Step 2: Convert to fraction form
    815,509/1,705,376 = 1,705,376/x
  3. Step 3: Cross multiply
    815,509x = 1,705,376 × 1,705,376
  4. Step 4: Simplify right side
    815,509x = 2,908,307,301,376
  5. Step 5: Solve for x
    x = 2,908,307,301,376/815,509
  6. Step 6: Final answer
    x = 3,566,247.95

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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.