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Finding the Third Proportional to 901,059 and 1,259,734.50

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Solution

The third proportional to 901,059 and 1,259,734.50 is: 1,761,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,059 : 1,259,734.50 = 1,259,734.50 : x
  2. Step 2: Convert to fraction form
    901,059/1,259,734.50 = 1,259,734.50/x
  3. Step 3: Cross multiply
    901,059x = 1,259,734.50 × 1,259,734.50
  4. Step 4: Simplify right side
    901,059x = 1,586,931,010,490.25
  5. Step 5: Solve for x
    x = 1,586,931,010,490.25/901,059
  6. Step 6: Final answer
    x = 1,761,184.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.