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Finding the Third Proportional to 691,740 and 1,068,300

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Solution

The third proportional to 691,740 and 1,068,300 is: 1,649,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,740 : 1,068,300 = 1,068,300 : x
  2. Step 2: Convert to fraction form
    691,740/1,068,300 = 1,068,300/x
  3. Step 3: Cross multiply
    691,740x = 1,068,300 × 1,068,300
  4. Step 4: Simplify right side
    691,740x = 1,141,264,890,000
  5. Step 5: Solve for x
    x = 1,141,264,890,000/691,740
  6. Step 6: Final answer
    x = 1,649,846.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.