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Finding the Third Proportional to 474,484 and 1,036,520

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Solution

The third proportional to 474,484 and 1,036,520 is: 2,264,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,484 : 1,036,520 = 1,036,520 : x
  2. Step 2: Convert to fraction form
    474,484/1,036,520 = 1,036,520/x
  3. Step 3: Cross multiply
    474,484x = 1,036,520 × 1,036,520
  4. Step 4: Simplify right side
    474,484x = 1,074,373,710,400
  5. Step 5: Solve for x
    x = 1,074,373,710,400/474,484
  6. Step 6: Final answer
    x = 2,264,299.13

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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.