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Finding the Third Proportional to 452,582 and 976,947

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Solution

The third proportional to 452,582 and 976,947 is: 2,108,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,582 : 976,947 = 976,947 : x
  2. Step 2: Convert to fraction form
    452,582/976,947 = 976,947/x
  3. Step 3: Cross multiply
    452,582x = 976,947 × 976,947
  4. Step 4: Simplify right side
    452,582x = 954,425,440,809
  5. Step 5: Solve for x
    x = 954,425,440,809/452,582
  6. Step 6: Final answer
    x = 2,108,845.34

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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.