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Finding the Third Proportional to 690,316 and 1,483,096

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Solution

The third proportional to 690,316 and 1,483,096 is: 3,186,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,316 : 1,483,096 = 1,483,096 : x
  2. Step 2: Convert to fraction form
    690,316/1,483,096 = 1,483,096/x
  3. Step 3: Cross multiply
    690,316x = 1,483,096 × 1,483,096
  4. Step 4: Simplify right side
    690,316x = 2,199,573,745,216
  5. Step 5: Solve for x
    x = 2,199,573,745,216/690,316
  6. Step 6: Final answer
    x = 3,186,328.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.