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Finding the Third Proportional to 849,206 and 1,325,487

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Solution

The third proportional to 849,206 and 1,325,487 is: 2,068,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,206 : 1,325,487 = 1,325,487 : x
  2. Step 2: Convert to fraction form
    849,206/1,325,487 = 1,325,487/x
  3. Step 3: Cross multiply
    849,206x = 1,325,487 × 1,325,487
  4. Step 4: Simplify right side
    849,206x = 1,756,915,787,169
  5. Step 5: Solve for x
    x = 1,756,915,787,169/849,206
  6. Step 6: Final answer
    x = 2,068,892.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.