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Finding the Third Proportional to 1,430,215 and 2,120,583

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Solution

The third proportional to 1,430,215 and 2,120,583 is: 3,144,193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,215 : 2,120,583 = 2,120,583 : x
  2. Step 2: Convert to fraction form
    1,430,215/2,120,583 = 2,120,583/x
  3. Step 3: Cross multiply
    1,430,215x = 2,120,583 × 2,120,583
  4. Step 4: Simplify right side
    1,430,215x = 4,496,872,259,889
  5. Step 5: Solve for x
    x = 4,496,872,259,889/1,430,215
  6. Step 6: Final answer
    x = 3,144,193.19

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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.