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Finding the Third Proportional to 781,302 and 1,673,196

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Solution

The third proportional to 781,302 and 1,673,196 is: 3,583,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,302 : 1,673,196 = 1,673,196 : x
  2. Step 2: Convert to fraction form
    781,302/1,673,196 = 1,673,196/x
  3. Step 3: Cross multiply
    781,302x = 1,673,196 × 1,673,196
  4. Step 4: Simplify right side
    781,302x = 2,799,584,854,416
  5. Step 5: Solve for x
    x = 2,799,584,854,416/781,302
  6. Step 6: Final answer
    x = 3,583,230.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.