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Finding the Third Proportional to 651,701 and 996,943

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Solution

The third proportional to 651,701 and 996,943 is: 1,525,078.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,701 : 996,943 = 996,943 : x
  2. Step 2: Convert to fraction form
    651,701/996,943 = 996,943/x
  3. Step 3: Cross multiply
    651,701x = 996,943 × 996,943
  4. Step 4: Simplify right side
    651,701x = 993,895,345,249
  5. Step 5: Solve for x
    x = 993,895,345,249/651,701
  6. Step 6: Final answer
    x = 1,525,078.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.