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Finding the Third Proportional to 473,823 and 1,118,536.50

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Solution

The third proportional to 473,823 and 1,118,536.50 is: 2,640,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,823 : 1,118,536.50 = 1,118,536.50 : x
  2. Step 2: Convert to fraction form
    473,823/1,118,536.50 = 1,118,536.50/x
  3. Step 3: Cross multiply
    473,823x = 1,118,536.50 × 1,118,536.50
  4. Step 4: Simplify right side
    473,823x = 1,251,123,901,832.25
  5. Step 5: Solve for x
    x = 1,251,123,901,832.25/473,823
  6. Step 6: Final answer
    x = 2,640,487.91

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.