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Finding the Third Proportional to 556,129.50 and 1,214,196

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Solution

The third proportional to 556,129.50 and 1,214,196 is: 2,650,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,129.50 : 1,214,196 = 1,214,196 : x
  2. Step 2: Convert to fraction form
    556,129.50/1,214,196 = 1,214,196/x
  3. Step 3: Cross multiply
    556,129.50x = 1,214,196 × 1,214,196
  4. Step 4: Simplify right side
    556,129.50x = 1,474,271,926,416
  5. Step 5: Solve for x
    x = 1,474,271,926,416/556,129.50
  6. Step 6: Final answer
    x = 2,650,950.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.