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Finding the Third Proportional to 662,400 and 1,474,688

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Solution

The third proportional to 662,400 and 1,474,688 is: 3,283,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,400 : 1,474,688 = 1,474,688 : x
  2. Step 2: Convert to fraction form
    662,400/1,474,688 = 1,474,688/x
  3. Step 3: Cross multiply
    662,400x = 1,474,688 × 1,474,688
  4. Step 4: Simplify right side
    662,400x = 2,174,704,697,344
  5. Step 5: Solve for x
    x = 2,174,704,697,344/662,400
  6. Step 6: Final answer
    x = 3,283,068.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.