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Finding the Third Proportional to 829,104 and 1,280,304

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Solution

The third proportional to 829,104 and 1,280,304 is: 1,977,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,104 : 1,280,304 = 1,280,304 : x
  2. Step 2: Convert to fraction form
    829,104/1,280,304 = 1,280,304/x
  3. Step 3: Cross multiply
    829,104x = 1,280,304 × 1,280,304
  4. Step 4: Simplify right side
    829,104x = 1,639,178,332,416
  5. Step 5: Solve for x
    x = 1,639,178,332,416/829,104
  6. Step 6: Final answer
    x = 1,977,047.91

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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.