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Finding the Third Proportional to 426,536 and 912,112

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Solution

The third proportional to 426,536 and 912,112 is: 1,950,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,536 : 912,112 = 912,112 : x
  2. Step 2: Convert to fraction form
    426,536/912,112 = 912,112/x
  3. Step 3: Cross multiply
    426,536x = 912,112 × 912,112
  4. Step 4: Simplify right side
    426,536x = 831,948,300,544
  5. Step 5: Solve for x
    x = 831,948,300,544/426,536
  6. Step 6: Final answer
    x = 1,950,476.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.