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Finding the Third Proportional to 651,709 and 996,955

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Solution

The third proportional to 651,709 and 996,955 is: 1,525,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,709 : 996,955 = 996,955 : x
  2. Step 2: Convert to fraction form
    651,709/996,955 = 996,955/x
  3. Step 3: Cross multiply
    651,709x = 996,955 × 996,955
  4. Step 4: Simplify right side
    651,709x = 993,919,272,025
  5. Step 5: Solve for x
    x = 993,919,272,025/651,709
  6. Step 6: Final answer
    x = 1,525,096.74

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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.