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Finding the Third Proportional to 691,046 and 1,046,232

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Solution

The third proportional to 691,046 and 1,046,232 is: 1,583,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,046 : 1,046,232 = 1,046,232 : x
  2. Step 2: Convert to fraction form
    691,046/1,046,232 = 1,046,232/x
  3. Step 3: Cross multiply
    691,046x = 1,046,232 × 1,046,232
  4. Step 4: Simplify right side
    691,046x = 1,094,601,397,824
  5. Step 5: Solve for x
    x = 1,094,601,397,824/691,046
  6. Step 6: Final answer
    x = 1,583,977.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.