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Finding the Third Proportional to 846,169.50 and 1,762,323

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Solution

The third proportional to 846,169.50 and 1,762,323 is: 3,670,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,169.50 : 1,762,323 = 1,762,323 : x
  2. Step 2: Convert to fraction form
    846,169.50/1,762,323 = 1,762,323/x
  3. Step 3: Cross multiply
    846,169.50x = 1,762,323 × 1,762,323
  4. Step 4: Simplify right side
    846,169.50x = 3,105,782,356,329
  5. Step 5: Solve for x
    x = 3,105,782,356,329/846,169.50
  6. Step 6: Final answer
    x = 3,670,402.16

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.