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Finding the Third Proportional to 916,071.19 and 1,856,741.06

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Solution

The third proportional to 916,071.19 and 1,856,741.06 is: 3,763,340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,071.19 : 1,856,741.06 = 1,856,741.06 : x
  2. Step 2: Convert to fraction form
    916,071.19/1,856,741.06 = 1,856,741.06/x
  3. Step 3: Cross multiply
    916,071.19x = 1,856,741.06 × 1,856,741.06
  4. Step 4: Simplify right side
    916,071.19x = 3,447,487,373,173.63
  5. Step 5: Solve for x
    x = 3,447,487,373,173.63/916,071.19
  6. Step 6: Final answer
    x = 3,763,340.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.