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Finding the Third Proportional to 738,906 and 944,148

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Solution

The third proportional to 738,906 and 944,148 is: 1,206,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,906 : 944,148 = 944,148 : x
  2. Step 2: Convert to fraction form
    738,906/944,148 = 944,148/x
  3. Step 3: Cross multiply
    738,906x = 944,148 × 944,148
  4. Step 4: Simplify right side
    738,906x = 891,415,445,904
  5. Step 5: Solve for x
    x = 891,415,445,904/738,906
  6. Step 6: Final answer
    x = 1,206,398.98

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.