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Finding the Third Proportional to 474,391 and 1,036,334

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Solution

The third proportional to 474,391 and 1,036,334 is: 2,263,930.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,391 : 1,036,334 = 1,036,334 : x
  2. Step 2: Convert to fraction form
    474,391/1,036,334 = 1,036,334/x
  3. Step 3: Cross multiply
    474,391x = 1,036,334 × 1,036,334
  4. Step 4: Simplify right side
    474,391x = 1,073,988,159,556
  5. Step 5: Solve for x
    x = 1,073,988,159,556/474,391
  6. Step 6: Final answer
    x = 2,263,930.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.