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Finding the Third Proportional to 905,600 and 1,326,312

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Solution

The third proportional to 905,600 and 1,326,312 is: 1,942,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,600 : 1,326,312 = 1,326,312 : x
  2. Step 2: Convert to fraction form
    905,600/1,326,312 = 1,326,312/x
  3. Step 3: Cross multiply
    905,600x = 1,326,312 × 1,326,312
  4. Step 4: Simplify right side
    905,600x = 1,759,103,521,344
  5. Step 5: Solve for x
    x = 1,759,103,521,344/905,600
  6. Step 6: Final answer
    x = 1,942,472.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.