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Finding the Third Proportional to 1,430,217 and 2,120,586

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Solution

The third proportional to 1,430,217 and 2,120,586 is: 3,144,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,217 : 2,120,586 = 2,120,586 : x
  2. Step 2: Convert to fraction form
    1,430,217/2,120,586 = 2,120,586/x
  3. Step 3: Cross multiply
    1,430,217x = 2,120,586 × 2,120,586
  4. Step 4: Simplify right side
    1,430,217x = 4,496,884,983,396
  5. Step 5: Solve for x
    x = 4,496,884,983,396/1,430,217
  6. Step 6: Final answer
    x = 3,144,197.69

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.