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Finding the Third Proportional to 901,117 and 1,259,821.50

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Solution

The third proportional to 901,117 and 1,259,821.50 is: 1,761,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,117 : 1,259,821.50 = 1,259,821.50 : x
  2. Step 2: Convert to fraction form
    901,117/1,259,821.50 = 1,259,821.50/x
  3. Step 3: Cross multiply
    901,117x = 1,259,821.50 × 1,259,821.50
  4. Step 4: Simplify right side
    901,117x = 1,587,150,211,862.25
  5. Step 5: Solve for x
    x = 1,587,150,211,862.25/901,117
  6. Step 6: Final answer
    x = 1,761,314.25

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