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Finding the Third Proportional to 831,604 and 1,264,902

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Solution

The third proportional to 831,604 and 1,264,902 is: 1,923,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,604 : 1,264,902 = 1,264,902 : x
  2. Step 2: Convert to fraction form
    831,604/1,264,902 = 1,264,902/x
  3. Step 3: Cross multiply
    831,604x = 1,264,902 × 1,264,902
  4. Step 4: Simplify right side
    831,604x = 1,599,977,069,604
  5. Step 5: Solve for x
    x = 1,599,977,069,604/831,604
  6. Step 6: Final answer
    x = 1,923,965.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.