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Finding the Third Proportional to 929,907 and 1,436,293.50

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Solution

The third proportional to 929,907 and 1,436,293.50 is: 2,218,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,907 : 1,436,293.50 = 1,436,293.50 : x
  2. Step 2: Convert to fraction form
    929,907/1,436,293.50 = 1,436,293.50/x
  3. Step 3: Cross multiply
    929,907x = 1,436,293.50 × 1,436,293.50
  4. Step 4: Simplify right side
    929,907x = 2,062,939,018,142.25
  5. Step 5: Solve for x
    x = 2,062,939,018,142.25/929,907
  6. Step 6: Final answer
    x = 2,218,435.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.