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Finding the Third Proportional to 831,582 and 1,158,604

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Solution

The third proportional to 831,582 and 1,158,604 is: 1,614,228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,582 : 1,158,604 = 1,158,604 : x
  2. Step 2: Convert to fraction form
    831,582/1,158,604 = 1,158,604/x
  3. Step 3: Cross multiply
    831,582x = 1,158,604 × 1,158,604
  4. Step 4: Simplify right side
    831,582x = 1,342,363,228,816
  5. Step 5: Solve for x
    x = 1,342,363,228,816/831,582
  6. Step 6: Final answer
    x = 1,614,228.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.