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Finding the Third Proportional to 698,984 and 1,055,116

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Solution

The third proportional to 698,984 and 1,055,116 is: 1,592,697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,984 : 1,055,116 = 1,055,116 : x
  2. Step 2: Convert to fraction form
    698,984/1,055,116 = 1,055,116/x
  3. Step 3: Cross multiply
    698,984x = 1,055,116 × 1,055,116
  4. Step 4: Simplify right side
    698,984x = 1,113,269,773,456
  5. Step 5: Solve for x
    x = 1,113,269,773,456/698,984
  6. Step 6: Final answer
    x = 1,592,697.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.