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Finding the Third Proportional to 781,307 and 1,673,206

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Solution

The third proportional to 781,307 and 1,673,206 is: 3,583,250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,307 : 1,673,206 = 1,673,206 : x
  2. Step 2: Convert to fraction form
    781,307/1,673,206 = 1,673,206/x
  3. Step 3: Cross multiply
    781,307x = 1,673,206 × 1,673,206
  4. Step 4: Simplify right side
    781,307x = 2,799,618,318,436
  5. Step 5: Solve for x
    x = 2,799,618,318,436/781,307
  6. Step 6: Final answer
    x = 3,583,250.01

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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.