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Finding the Third Proportional to 849,212 and 1,325,496

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Solution

The third proportional to 849,212 and 1,325,496 is: 2,068,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,212 : 1,325,496 = 1,325,496 : x
  2. Step 2: Convert to fraction form
    849,212/1,325,496 = 1,325,496/x
  3. Step 3: Cross multiply
    849,212x = 1,325,496 × 1,325,496
  4. Step 4: Simplify right side
    849,212x = 1,756,939,646,016
  5. Step 5: Solve for x
    x = 1,756,939,646,016/849,212
  6. Step 6: Final answer
    x = 2,068,905.82

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