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Finding the Third Proportional to 790,164 and 1,674,369

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Solution

The third proportional to 790,164 and 1,674,369 is: 3,548,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,164 : 1,674,369 = 1,674,369 : x
  2. Step 2: Convert to fraction form
    790,164/1,674,369 = 1,674,369/x
  3. Step 3: Cross multiply
    790,164x = 1,674,369 × 1,674,369
  4. Step 4: Simplify right side
    790,164x = 2,803,511,548,161
  5. Step 5: Solve for x
    x = 2,803,511,548,161/790,164
  6. Step 6: Final answer
    x = 3,548,012.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.