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Finding the Third Proportional to 609,562 and 896,664

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Solution

The third proportional to 609,562 and 896,664 is: 1,318,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,562 : 896,664 = 896,664 : x
  2. Step 2: Convert to fraction form
    609,562/896,664 = 896,664/x
  3. Step 3: Cross multiply
    609,562x = 896,664 × 896,664
  4. Step 4: Simplify right side
    609,562x = 804,006,328,896
  5. Step 5: Solve for x
    x = 804,006,328,896/609,562
  6. Step 6: Final answer
    x = 1,318,990.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.