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Finding the Third Proportional to 881,216 and 1,400,558

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Solution

The third proportional to 881,216 and 1,400,558 is: 2,225,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,216 : 1,400,558 = 1,400,558 : x
  2. Step 2: Convert to fraction form
    881,216/1,400,558 = 1,400,558/x
  3. Step 3: Cross multiply
    881,216x = 1,400,558 × 1,400,558
  4. Step 4: Simplify right side
    881,216x = 1,961,562,711,364
  5. Step 5: Solve for x
    x = 1,961,562,711,364/881,216
  6. Step 6: Final answer
    x = 2,225,972.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.