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Finding the Third Proportional to 945,257.34 and 1,452,928.64

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Solution

The third proportional to 945,257.34 and 1,452,928.64 is: 2,233,256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,257.34 : 1,452,928.64 = 1,452,928.64 : x
  2. Step 2: Convert to fraction form
    945,257.34/1,452,928.64 = 1,452,928.64/x
  3. Step 3: Cross multiply
    945,257.34x = 1,452,928.64 × 1,452,928.64
  4. Step 4: Simplify right side
    945,257.34x = 2,111,001,634,748.41
  5. Step 5: Solve for x
    x = 2,111,001,634,748.41/945,257.34
  6. Step 6: Final answer
    x = 2,233,256.00

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Why These Related Problems?

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