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Finding the Third Proportional to 473,828 and 1,023,524

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Solution

The third proportional to 473,828 and 1,023,524 is: 2,210,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,828 : 1,023,524 = 1,023,524 : x
  2. Step 2: Convert to fraction form
    473,828/1,023,524 = 1,023,524/x
  3. Step 3: Cross multiply
    473,828x = 1,023,524 × 1,023,524
  4. Step 4: Simplify right side
    473,828x = 1,047,601,378,576
  5. Step 5: Solve for x
    x = 1,047,601,378,576/473,828
  6. Step 6: Final answer
    x = 2,210,931.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.