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Finding the Third Proportional to 522,018 and 829,683

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Solution

The third proportional to 522,018 and 829,683 is: 1,318,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,018 : 829,683 = 829,683 : x
  2. Step 2: Convert to fraction form
    522,018/829,683 = 829,683/x
  3. Step 3: Cross multiply
    522,018x = 829,683 × 829,683
  4. Step 4: Simplify right side
    522,018x = 688,373,880,489
  5. Step 5: Solve for x
    x = 688,373,880,489/522,018
  6. Step 6: Final answer
    x = 1,318,678.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.