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Finding the Third Proportional to 727,314.19 and 1,101,094.70

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Solution

The third proportional to 727,314.19 and 1,101,094.70 is: 1,666,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,314.19 : 1,101,094.70 = 1,101,094.70 : x
  2. Step 2: Convert to fraction form
    727,314.19/1,101,094.70 = 1,101,094.70/x
  3. Step 3: Cross multiply
    727,314.19x = 1,101,094.70 × 1,101,094.70
  4. Step 4: Simplify right side
    727,314.19x = 1,212,409,536,647.74
  5. Step 5: Solve for x
    x = 1,212,409,536,647.74/727,314.19
  6. Step 6: Final answer
    x = 1,666,968.08

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