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Finding the Third Proportional to 673,769 and 1,460,853

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Solution

The third proportional to 673,769 and 1,460,853 is: 3,167,393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,769 : 1,460,853 = 1,460,853 : x
  2. Step 2: Convert to fraction form
    673,769/1,460,853 = 1,460,853/x
  3. Step 3: Cross multiply
    673,769x = 1,460,853 × 1,460,853
  4. Step 4: Simplify right side
    673,769x = 2,134,091,487,609
  5. Step 5: Solve for x
    x = 2,134,091,487,609/673,769
  6. Step 6: Final answer
    x = 3,167,393.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.