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Finding the Third Proportional to 390,410 and 850,076

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Solution

The third proportional to 390,410 and 850,076 is: 1,850,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,410 : 850,076 = 850,076 : x
  2. Step 2: Convert to fraction form
    390,410/850,076 = 850,076/x
  3. Step 3: Cross multiply
    390,410x = 850,076 × 850,076
  4. Step 4: Simplify right side
    390,410x = 722,629,205,776
  5. Step 5: Solve for x
    x = 722,629,205,776/390,410
  6. Step 6: Final answer
    x = 1,850,949.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.