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Finding the Third Proportional to 683,432 and 1,051,905

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Solution

The third proportional to 683,432 and 1,051,905 is: 1,619,040.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,432 : 1,051,905 = 1,051,905 : x
  2. Step 2: Convert to fraction form
    683,432/1,051,905 = 1,051,905/x
  3. Step 3: Cross multiply
    683,432x = 1,051,905 × 1,051,905
  4. Step 4: Simplify right side
    683,432x = 1,106,504,129,025
  5. Step 5: Solve for x
    x = 1,106,504,129,025/683,432
  6. Step 6: Final answer
    x = 1,619,040.56

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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.