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Finding the Third Proportional to 513,457 and 1,144,973

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Solution

The third proportional to 513,457 and 1,144,973 is: 2,553,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,457 : 1,144,973 = 1,144,973 : x
  2. Step 2: Convert to fraction form
    513,457/1,144,973 = 1,144,973/x
  3. Step 3: Cross multiply
    513,457x = 1,144,973 × 1,144,973
  4. Step 4: Simplify right side
    513,457x = 1,310,963,170,729
  5. Step 5: Solve for x
    x = 1,310,963,170,729/513,457
  6. Step 6: Final answer
    x = 2,553,209.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.