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Finding the Third Proportional to 413,936 and 905,362

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Solution

The third proportional to 413,936 and 905,362 is: 1,980,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,936 : 905,362 = 905,362 : x
  2. Step 2: Convert to fraction form
    413,936/905,362 = 905,362/x
  3. Step 3: Cross multiply
    413,936x = 905,362 × 905,362
  4. Step 4: Simplify right side
    413,936x = 819,680,351,044
  5. Step 5: Solve for x
    x = 819,680,351,044/413,936
  6. Step 6: Final answer
    x = 1,980,210.35

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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.