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Finding the Third Proportional to 1,620,461 and 3,532,504

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Solution

The third proportional to 1,620,461 and 3,532,504 is: 7,700,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620,461 : 3,532,504 = 3,532,504 : x
  2. Step 2: Convert to fraction form
    1,620,461/3,532,504 = 3,532,504/x
  3. Step 3: Cross multiply
    1,620,461x = 3,532,504 × 3,532,504
  4. Step 4: Simplify right side
    1,620,461x = 12,478,584,510,016
  5. Step 5: Solve for x
    x = 12,478,584,510,016/1,620,461
  6. Step 6: Final answer
    x = 7,700,638.59

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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.