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Finding the Third Proportional to 462,504 and 937,767

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Solution

The third proportional to 462,504 and 937,767 is: 1,901,403.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,504 : 937,767 = 937,767 : x
  2. Step 2: Convert to fraction form
    462,504/937,767 = 937,767/x
  3. Step 3: Cross multiply
    462,504x = 937,767 × 937,767
  4. Step 4: Simplify right side
    462,504x = 879,406,946,289
  5. Step 5: Solve for x
    x = 879,406,946,289/462,504
  6. Step 6: Final answer
    x = 1,901,403.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.