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Finding the Third Proportional to 954,906 and 1,297,642.50

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Solution

The third proportional to 954,906 and 1,297,642.50 is: 1,763,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,906 : 1,297,642.50 = 1,297,642.50 : x
  2. Step 2: Convert to fraction form
    954,906/1,297,642.50 = 1,297,642.50/x
  3. Step 3: Cross multiply
    954,906x = 1,297,642.50 × 1,297,642.50
  4. Step 4: Simplify right side
    954,906x = 1,683,876,057,806.25
  5. Step 5: Solve for x
    x = 1,683,876,057,806.25/954,906
  6. Step 6: Final answer
    x = 1,763,394.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.