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Finding the Third Proportional to 690,156 and 927,504

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Solution

The third proportional to 690,156 and 927,504 is: 1,246,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,156 : 927,504 = 927,504 : x
  2. Step 2: Convert to fraction form
    690,156/927,504 = 927,504/x
  3. Step 3: Cross multiply
    690,156x = 927,504 × 927,504
  4. Step 4: Simplify right side
    690,156x = 860,263,670,016
  5. Step 5: Solve for x
    x = 860,263,670,016/690,156
  6. Step 6: Final answer
    x = 1,246,477.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.