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Finding the Third Proportional to 673,010 and 1,365,796

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Solution

The third proportional to 673,010 and 1,365,796 is: 2,771,725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,010 : 1,365,796 = 1,365,796 : x
  2. Step 2: Convert to fraction form
    673,010/1,365,796 = 1,365,796/x
  3. Step 3: Cross multiply
    673,010x = 1,365,796 × 1,365,796
  4. Step 4: Simplify right side
    673,010x = 1,865,398,713,616
  5. Step 5: Solve for x
    x = 1,865,398,713,616/673,010
  6. Step 6: Final answer
    x = 2,771,725.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.