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Finding the Third Proportional to 501,207 and 1,051,623

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Solution

The third proportional to 501,207 and 1,051,623 is: 2,206,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,207 : 1,051,623 = 1,051,623 : x
  2. Step 2: Convert to fraction form
    501,207/1,051,623 = 1,051,623/x
  3. Step 3: Cross multiply
    501,207x = 1,051,623 × 1,051,623
  4. Step 4: Simplify right side
    501,207x = 1,105,910,934,129
  5. Step 5: Solve for x
    x = 1,105,910,934,129/501,207
  6. Step 6: Final answer
    x = 2,206,495.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.