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Finding the Third Proportional to 784,880 and 1,207,940

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Solution

The third proportional to 784,880 and 1,207,940 is: 1,859,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,880 : 1,207,940 = 1,207,940 : x
  2. Step 2: Convert to fraction form
    784,880/1,207,940 = 1,207,940/x
  3. Step 3: Cross multiply
    784,880x = 1,207,940 × 1,207,940
  4. Step 4: Simplify right side
    784,880x = 1,459,119,043,600
  5. Step 5: Solve for x
    x = 1,459,119,043,600/784,880
  6. Step 6: Final answer
    x = 1,859,034.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.