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Finding the Third Proportional to 2,070,762 and 4,241,903.25

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Solution

The third proportional to 2,070,762 and 4,241,903.25 is: 8,689,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070,762 : 4,241,903.25 = 4,241,903.25 : x
  2. Step 2: Convert to fraction form
    2,070,762/4,241,903.25 = 4,241,903.25/x
  3. Step 3: Cross multiply
    2,070,762x = 4,241,903.25 × 4,241,903.25
  4. Step 4: Simplify right side
    2,070,762x = 17,993,743,182,360.56
  5. Step 5: Solve for x
    x = 17,993,743,182,360.56/2,070,762
  6. Step 6: Final answer
    x = 8,689,430.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.