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Finding the Third Proportional to 474,403 and 1,036,358

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Solution

The third proportional to 474,403 and 1,036,358 is: 2,263,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,403 : 1,036,358 = 1,036,358 : x
  2. Step 2: Convert to fraction form
    474,403/1,036,358 = 1,036,358/x
  3. Step 3: Cross multiply
    474,403x = 1,036,358 × 1,036,358
  4. Step 4: Simplify right side
    474,403x = 1,074,037,904,164
  5. Step 5: Solve for x
    x = 1,074,037,904,164/474,403
  6. Step 6: Final answer
    x = 2,263,977.89

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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.