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Finding the Third Proportional to 673,470 and 1,045,623

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Solution

The third proportional to 673,470 and 1,045,623 is: 1,623,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,470 : 1,045,623 = 1,045,623 : x
  2. Step 2: Convert to fraction form
    673,470/1,045,623 = 1,045,623/x
  3. Step 3: Cross multiply
    673,470x = 1,045,623 × 1,045,623
  4. Step 4: Simplify right side
    673,470x = 1,093,327,458,129
  5. Step 5: Solve for x
    x = 1,093,327,458,129/673,470
  6. Step 6: Final answer
    x = 1,623,424.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.