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Finding the Third Proportional to 651,346 and 1,036,131

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Solution

The third proportional to 651,346 and 1,036,131 is: 1,648,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,346 : 1,036,131 = 1,036,131 : x
  2. Step 2: Convert to fraction form
    651,346/1,036,131 = 1,036,131/x
  3. Step 3: Cross multiply
    651,346x = 1,036,131 × 1,036,131
  4. Step 4: Simplify right side
    651,346x = 1,073,567,449,161
  5. Step 5: Solve for x
    x = 1,073,567,449,161/651,346
  6. Step 6: Final answer
    x = 1,648,229.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.