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Finding the Third Proportional to 722,098 and 1,009,485

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Solution

The third proportional to 722,098 and 1,009,485 is: 1,411,248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,098 : 1,009,485 = 1,009,485 : x
  2. Step 2: Convert to fraction form
    722,098/1,009,485 = 1,009,485/x
  3. Step 3: Cross multiply
    722,098x = 1,009,485 × 1,009,485
  4. Step 4: Simplify right side
    722,098x = 1,019,059,965,225
  5. Step 5: Solve for x
    x = 1,019,059,965,225/722,098
  6. Step 6: Final answer
    x = 1,411,248.84

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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.