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Finding the Third Proportional to 608,362 and 946,928

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Solution

The third proportional to 608,362 and 946,928 is: 1,473,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,362 : 946,928 = 946,928 : x
  2. Step 2: Convert to fraction form
    608,362/946,928 = 946,928/x
  3. Step 3: Cross multiply
    608,362x = 946,928 × 946,928
  4. Step 4: Simplify right side
    608,362x = 896,672,637,184
  5. Step 5: Solve for x
    x = 896,672,637,184/608,362
  6. Step 6: Final answer
    x = 1,473,912.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.