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Finding the Third Proportional to 507,784.50 and 1,106,649

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Solution

The third proportional to 507,784.50 and 1,106,649 is: 2,411,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,784.50 : 1,106,649 = 1,106,649 : x
  2. Step 2: Convert to fraction form
    507,784.50/1,106,649 = 1,106,649/x
  3. Step 3: Cross multiply
    507,784.50x = 1,106,649 × 1,106,649
  4. Step 4: Simplify right side
    507,784.50x = 1,224,672,009,201
  5. Step 5: Solve for x
    x = 1,224,672,009,201/507,784.50
  6. Step 6: Final answer
    x = 2,411,794.79

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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.