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Finding the Third Proportional to 426,504 and 912,048

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Solution

The third proportional to 426,504 and 912,048 is: 1,950,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,504 : 912,048 = 912,048 : x
  2. Step 2: Convert to fraction form
    426,504/912,048 = 912,048/x
  3. Step 3: Cross multiply
    426,504x = 912,048 × 912,048
  4. Step 4: Simplify right side
    426,504x = 831,831,554,304
  5. Step 5: Solve for x
    x = 831,831,554,304/426,504
  6. Step 6: Final answer
    x = 1,950,348.78

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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.