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Finding the Third Proportional to 4,254,120 and 6,431,813

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Solution

The third proportional to 4,254,120 and 6,431,813 is: 9,724,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254,120 : 6,431,813 = 6,431,813 : x
  2. Step 2: Convert to fraction form
    4,254,120/6,431,813 = 6,431,813/x
  3. Step 3: Cross multiply
    4,254,120x = 6,431,813 × 6,431,813
  4. Step 4: Simplify right side
    4,254,120x = 41,368,218,466,969
  5. Step 5: Solve for x
    x = 41,368,218,466,969/4,254,120
  6. Step 6: Final answer
    x = 9,724,271.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.