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Finding the Third Proportional to 945,129.75 and 2,073,967.50

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Solution

The third proportional to 945,129.75 and 2,073,967.50 is: 4,551,058.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,129.75 : 2,073,967.50 = 2,073,967.50 : x
  2. Step 2: Convert to fraction form
    945,129.75/2,073,967.50 = 2,073,967.50/x
  3. Step 3: Cross multiply
    945,129.75x = 2,073,967.50 × 2,073,967.50
  4. Step 4: Simplify right side
    945,129.75x = 4,301,341,191,056.25
  5. Step 5: Solve for x
    x = 4,301,341,191,056.25/945,129.75
  6. Step 6: Final answer
    x = 4,551,058.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.