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Finding the Third Proportional to 434,698 and 921,732

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Solution

The third proportional to 434,698 and 921,732 is: 1,954,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,698 : 921,732 = 921,732 : x
  2. Step 2: Convert to fraction form
    434,698/921,732 = 921,732/x
  3. Step 3: Cross multiply
    434,698x = 921,732 × 921,732
  4. Step 4: Simplify right side
    434,698x = 849,589,879,824
  5. Step 5: Solve for x
    x = 849,589,879,824/434,698
  6. Step 6: Final answer
    x = 1,954,437.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.