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Finding the Third Proportional to 455,564 and 910,588

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Solution

The third proportional to 455,564 and 910,588 is: 1,820,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,564 : 910,588 = 910,588 : x
  2. Step 2: Convert to fraction form
    455,564/910,588 = 910,588/x
  3. Step 3: Cross multiply
    455,564x = 910,588 × 910,588
  4. Step 4: Simplify right side
    455,564x = 829,170,505,744
  5. Step 5: Solve for x
    x = 829,170,505,744/455,564
  6. Step 6: Final answer
    x = 1,820,096.64

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.