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Finding the Third Proportional to 425,610 and 926,820

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Solution

The third proportional to 425,610 and 926,820 is: 2,018,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,610 : 926,820 = 926,820 : x
  2. Step 2: Convert to fraction form
    425,610/926,820 = 926,820/x
  3. Step 3: Cross multiply
    425,610x = 926,820 × 926,820
  4. Step 4: Simplify right side
    425,610x = 858,995,312,400
  5. Step 5: Solve for x
    x = 858,995,312,400/425,610
  6. Step 6: Final answer
    x = 2,018,268.63

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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.