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Finding the Third Proportional to 463,302 and 1,015,178

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Solution

The third proportional to 463,302 and 1,015,178 is: 2,224,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,302 : 1,015,178 = 1,015,178 : x
  2. Step 2: Convert to fraction form
    463,302/1,015,178 = 1,015,178/x
  3. Step 3: Cross multiply
    463,302x = 1,015,178 × 1,015,178
  4. Step 4: Simplify right side
    463,302x = 1,030,586,371,684
  5. Step 5: Solve for x
    x = 1,030,586,371,684/463,302
  6. Step 6: Final answer
    x = 2,224,437.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.