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Finding the Third Proportional to 436,362 and 912,444

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Solution

The third proportional to 436,362 and 912,444 is: 1,907,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,362 : 912,444 = 912,444 : x
  2. Step 2: Convert to fraction form
    436,362/912,444 = 912,444/x
  3. Step 3: Cross multiply
    436,362x = 912,444 × 912,444
  4. Step 4: Simplify right side
    436,362x = 832,554,053,136
  5. Step 5: Solve for x
    x = 832,554,053,136/436,362
  6. Step 6: Final answer
    x = 1,907,943.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.