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Finding the Third Proportional to 804,870 and 1,089,207

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Solution

The third proportional to 804,870 and 1,089,207 is: 1,473,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,870 : 1,089,207 = 1,089,207 : x
  2. Step 2: Convert to fraction form
    804,870/1,089,207 = 1,089,207/x
  3. Step 3: Cross multiply
    804,870x = 1,089,207 × 1,089,207
  4. Step 4: Simplify right side
    804,870x = 1,186,371,888,849
  5. Step 5: Solve for x
    x = 1,186,371,888,849/804,870
  6. Step 6: Final answer
    x = 1,473,991.94

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.