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Finding the Third Proportional to 419,152 and 912,592

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Solution

The third proportional to 419,152 and 912,592 is: 1,986,926.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,152 : 912,592 = 912,592 : x
  2. Step 2: Convert to fraction form
    419,152/912,592 = 912,592/x
  3. Step 3: Cross multiply
    419,152x = 912,592 × 912,592
  4. Step 4: Simplify right side
    419,152x = 832,824,158,464
  5. Step 5: Solve for x
    x = 832,824,158,464/419,152
  6. Step 6: Final answer
    x = 1,986,926.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.