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Finding the Third Proportional to 983,880 and 1,504,364

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Solution

The third proportional to 983,880 and 1,504,364 is: 2,300,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,880 : 1,504,364 = 1,504,364 : x
  2. Step 2: Convert to fraction form
    983,880/1,504,364 = 1,504,364/x
  3. Step 3: Cross multiply
    983,880x = 1,504,364 × 1,504,364
  4. Step 4: Simplify right side
    983,880x = 2,263,111,044,496
  5. Step 5: Solve for x
    x = 2,263,111,044,496/983,880
  6. Step 6: Final answer
    x = 2,300,190.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.