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Finding the Third Proportional to 846,000 and 1,310,611.50

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Solution

The third proportional to 846,000 and 1,310,611.50 is: 2,030,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,000 : 1,310,611.50 = 1,310,611.50 : x
  2. Step 2: Convert to fraction form
    846,000/1,310,611.50 = 1,310,611.50/x
  3. Step 3: Cross multiply
    846,000x = 1,310,611.50 × 1,310,611.50
  4. Step 4: Simplify right side
    846,000x = 1,717,702,503,932.25
  5. Step 5: Solve for x
    x = 1,717,702,503,932.25/846,000
  6. Step 6: Final answer
    x = 2,030,381.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.