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Finding the Third Proportional to 768,054 and 1,675,860

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Solution

The third proportional to 768,054 and 1,675,860 is: 3,656,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,054 : 1,675,860 = 1,675,860 : x
  2. Step 2: Convert to fraction form
    768,054/1,675,860 = 1,675,860/x
  3. Step 3: Cross multiply
    768,054x = 1,675,860 × 1,675,860
  4. Step 4: Simplify right side
    768,054x = 2,808,506,739,600
  5. Step 5: Solve for x
    x = 2,808,506,739,600/768,054
  6. Step 6: Final answer
    x = 3,656,652.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.