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Finding the Third Proportional to 452,907 and 976,745

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Solution

The third proportional to 452,907 and 976,745 is: 2,106,460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,907 : 976,745 = 976,745 : x
  2. Step 2: Convert to fraction form
    452,907/976,745 = 976,745/x
  3. Step 3: Cross multiply
    452,907x = 976,745 × 976,745
  4. Step 4: Simplify right side
    452,907x = 954,030,795,025
  5. Step 5: Solve for x
    x = 954,030,795,025/452,907
  6. Step 6: Final answer
    x = 2,106,460.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.