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Finding the Third Proportional to 453,607 and 976,550

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Solution

The third proportional to 453,607 and 976,550 is: 2,102,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,607 : 976,550 = 976,550 : x
  2. Step 2: Convert to fraction form
    453,607/976,550 = 976,550/x
  3. Step 3: Cross multiply
    453,607x = 976,550 × 976,550
  4. Step 4: Simplify right side
    453,607x = 953,649,902,500
  5. Step 5: Solve for x
    x = 953,649,902,500/453,607
  6. Step 6: Final answer
    x = 2,102,370.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.