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Finding the Third Proportional to 829,893 and 1,281,672

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Solution

The third proportional to 829,893 and 1,281,672 is: 1,979,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,893 : 1,281,672 = 1,281,672 : x
  2. Step 2: Convert to fraction form
    829,893/1,281,672 = 1,281,672/x
  3. Step 3: Cross multiply
    829,893x = 1,281,672 × 1,281,672
  4. Step 4: Simplify right side
    829,893x = 1,642,683,115,584
  5. Step 5: Solve for x
    x = 1,642,683,115,584/829,893
  6. Step 6: Final answer
    x = 1,979,391.46

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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.