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Finding the Third Proportional to 804,875 and 1,089,214

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Solution

The third proportional to 804,875 and 1,089,214 is: 1,474,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,875 : 1,089,214 = 1,089,214 : x
  2. Step 2: Convert to fraction form
    804,875/1,089,214 = 1,089,214/x
  3. Step 3: Cross multiply
    804,875x = 1,089,214 × 1,089,214
  4. Step 4: Simplify right side
    804,875x = 1,186,387,137,796
  5. Step 5: Solve for x
    x = 1,186,387,137,796/804,875
  6. Step 6: Final answer
    x = 1,474,001.72

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Why These Related Problems?

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