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Finding the Third Proportional to 463,605 and 993,747

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Solution

The third proportional to 463,605 and 993,747 is: 2,130,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,605 : 993,747 = 993,747 : x
  2. Step 2: Convert to fraction form
    463,605/993,747 = 993,747/x
  3. Step 3: Cross multiply
    463,605x = 993,747 × 993,747
  4. Step 4: Simplify right side
    463,605x = 987,533,100,009
  5. Step 5: Solve for x
    x = 987,533,100,009/463,605
  6. Step 6: Final answer
    x = 2,130,117.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.