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Finding the Third Proportional to 522,630 and 1,144,903.50

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Solution

The third proportional to 522,630 and 1,144,903.50 is: 2,508,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,630 : 1,144,903.50 = 1,144,903.50 : x
  2. Step 2: Convert to fraction form
    522,630/1,144,903.50 = 1,144,903.50/x
  3. Step 3: Cross multiply
    522,630x = 1,144,903.50 × 1,144,903.50
  4. Step 4: Simplify right side
    522,630x = 1,310,804,024,312.25
  5. Step 5: Solve for x
    x = 1,310,804,024,312.25/522,630
  6. Step 6: Final answer
    x = 2,508,091.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.