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Finding the Third Proportional to 553,439 and 846,219

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Solution

The third proportional to 553,439 and 846,219 is: 1,293,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,439 : 846,219 = 846,219 : x
  2. Step 2: Convert to fraction form
    553,439/846,219 = 846,219/x
  3. Step 3: Cross multiply
    553,439x = 846,219 × 846,219
  4. Step 4: Simplify right side
    553,439x = 716,086,595,961
  5. Step 5: Solve for x
    x = 716,086,595,961/553,439
  6. Step 6: Final answer
    x = 1,293,885.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.