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Finding the Third Proportional to 698,808 and 1,054,008

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Solution

The third proportional to 698,808 and 1,054,008 is: 1,589,754.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,808 : 1,054,008 = 1,054,008 : x
  2. Step 2: Convert to fraction form
    698,808/1,054,008 = 1,054,008/x
  3. Step 3: Cross multiply
    698,808x = 1,054,008 × 1,054,008
  4. Step 4: Simplify right side
    698,808x = 1,110,932,864,064
  5. Step 5: Solve for x
    x = 1,110,932,864,064/698,808
  6. Step 6: Final answer
    x = 1,589,754.07

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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.