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Finding the Third Proportional to 497,728 and 1,056,896

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Solution

The third proportional to 497,728 and 1,056,896 is: 2,244,256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,728 : 1,056,896 = 1,056,896 : x
  2. Step 2: Convert to fraction form
    497,728/1,056,896 = 1,056,896/x
  3. Step 3: Cross multiply
    497,728x = 1,056,896 × 1,056,896
  4. Step 4: Simplify right side
    497,728x = 1,117,029,154,816
  5. Step 5: Solve for x
    x = 1,117,029,154,816/497,728
  6. Step 6: Final answer
    x = 2,244,256.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.