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Finding the Third Proportional to 847,344 and 1,185,186

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Solution

The third proportional to 847,344 and 1,185,186 is: 1,657,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,344 : 1,185,186 = 1,185,186 : x
  2. Step 2: Convert to fraction form
    847,344/1,185,186 = 1,185,186/x
  3. Step 3: Cross multiply
    847,344x = 1,185,186 × 1,185,186
  4. Step 4: Simplify right side
    847,344x = 1,404,665,854,596
  5. Step 5: Solve for x
    x = 1,404,665,854,596/847,344
  6. Step 6: Final answer
    x = 1,657,727.98

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.