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Finding the Third Proportional to 935,914.50 and 1,507,207.50

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Solution

The third proportional to 935,914.50 and 1,507,207.50 is: 2,427,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,914.50 : 1,507,207.50 = 1,507,207.50 : x
  2. Step 2: Convert to fraction form
    935,914.50/1,507,207.50 = 1,507,207.50/x
  3. Step 3: Cross multiply
    935,914.50x = 1,507,207.50 × 1,507,207.50
  4. Step 4: Simplify right side
    935,914.50x = 2,271,674,448,056.25
  5. Step 5: Solve for x
    x = 2,271,674,448,056.25/935,914.50
  6. Step 6: Final answer
    x = 2,427,224.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.