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Finding the Third Proportional to 933,805.50 and 1,409,280

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Solution

The third proportional to 933,805.50 and 1,409,280 is: 2,126,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,805.50 : 1,409,280 = 1,409,280 : x
  2. Step 2: Convert to fraction form
    933,805.50/1,409,280 = 1,409,280/x
  3. Step 3: Cross multiply
    933,805.50x = 1,409,280 × 1,409,280
  4. Step 4: Simplify right side
    933,805.50x = 1,986,070,118,400
  5. Step 5: Solve for x
    x = 1,986,070,118,400/933,805.50
  6. Step 6: Final answer
    x = 2,126,856.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.