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Finding the Third Proportional to 854,928.75 and 1,334,152.50

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Solution

The third proportional to 854,928.75 and 1,334,152.50 is: 2,082,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,928.75 : 1,334,152.50 = 1,334,152.50 : x
  2. Step 2: Convert to fraction form
    854,928.75/1,334,152.50 = 1,334,152.50/x
  3. Step 3: Cross multiply
    854,928.75x = 1,334,152.50 × 1,334,152.50
  4. Step 4: Simplify right side
    854,928.75x = 1,779,962,893,256.25
  5. Step 5: Solve for x
    x = 1,779,962,893,256.25/854,928.75
  6. Step 6: Final answer
    x = 2,082,001.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.