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Finding the Third Proportional to 507,606.75 and 1,128,681.84

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Solution

The third proportional to 507,606.75 and 1,128,681.84 is: 2,509,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,606.75 : 1,128,681.84 = 1,128,681.84 : x
  2. Step 2: Convert to fraction form
    507,606.75/1,128,681.84 = 1,128,681.84/x
  3. Step 3: Cross multiply
    507,606.75x = 1,128,681.84 × 1,128,681.84
  4. Step 4: Simplify right side
    507,606.75x = 1,273,922,704,410.90
  5. Step 5: Solve for x
    x = 1,273,922,704,410.90/507,606.75
  6. Step 6: Final answer
    x = 2,509,664.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.