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Finding the Third Proportional to 722,099 and 1,009,487

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Solution

The third proportional to 722,099 and 1,009,487 is: 1,411,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,099 : 1,009,487 = 1,009,487 : x
  2. Step 2: Convert to fraction form
    722,099/1,009,487 = 1,009,487/x
  3. Step 3: Cross multiply
    722,099x = 1,009,487 × 1,009,487
  4. Step 4: Simplify right side
    722,099x = 1,019,064,003,169
  5. Step 5: Solve for x
    x = 1,019,064,003,169/722,099
  6. Step 6: Final answer
    x = 1,411,252.48

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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.