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Finding the Third Proportional to 772,078 and 1,701,206

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Solution

The third proportional to 772,078 and 1,701,206 is: 3,748,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,078 : 1,701,206 = 1,701,206 : x
  2. Step 2: Convert to fraction form
    772,078/1,701,206 = 1,701,206/x
  3. Step 3: Cross multiply
    772,078x = 1,701,206 × 1,701,206
  4. Step 4: Simplify right side
    772,078x = 2,894,101,854,436
  5. Step 5: Solve for x
    x = 2,894,101,854,436/772,078
  6. Step 6: Final answer
    x = 3,748,457.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.