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Finding the Third Proportional to 659,430 and 1,436,953.50

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Solution

The third proportional to 659,430 and 1,436,953.50 is: 3,131,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,430 : 1,436,953.50 = 1,436,953.50 : x
  2. Step 2: Convert to fraction form
    659,430/1,436,953.50 = 1,436,953.50/x
  3. Step 3: Cross multiply
    659,430x = 1,436,953.50 × 1,436,953.50
  4. Step 4: Simplify right side
    659,430x = 2,064,835,361,162.25
  5. Step 5: Solve for x
    x = 2,064,835,361,162.25/659,430
  6. Step 6: Final answer
    x = 3,131,242.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.