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Finding the Third Proportional to 910,948.50 and 1,297,658.25

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Solution

The third proportional to 910,948.50 and 1,297,658.25 is: 1,848,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,948.50 : 1,297,658.25 = 1,297,658.25 : x
  2. Step 2: Convert to fraction form
    910,948.50/1,297,658.25 = 1,297,658.25/x
  3. Step 3: Cross multiply
    910,948.50x = 1,297,658.25 × 1,297,658.25
  4. Step 4: Simplify right side
    910,948.50x = 1,683,916,933,793.06
  5. Step 5: Solve for x
    x = 1,683,916,933,793.06/910,948.50
  6. Step 6: Final answer
    x = 1,848,531.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.