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Finding the Third Proportional to 805,071 and 1,089,488

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Solution

The third proportional to 805,071 and 1,089,488 is: 1,474,384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,071 : 1,089,488 = 1,089,488 : x
  2. Step 2: Convert to fraction form
    805,071/1,089,488 = 1,089,488/x
  3. Step 3: Cross multiply
    805,071x = 1,089,488 × 1,089,488
  4. Step 4: Simplify right side
    805,071x = 1,186,984,102,144
  5. Step 5: Solve for x
    x = 1,186,984,102,144/805,071
  6. Step 6: Final answer
    x = 1,474,384.37

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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.