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Finding the Third Proportional to 912,000 and 1,978,560

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Solution

The third proportional to 912,000 and 1,978,560 is: 4,292,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,000 : 1,978,560 = 1,978,560 : x
  2. Step 2: Convert to fraction form
    912,000/1,978,560 = 1,978,560/x
  3. Step 3: Cross multiply
    912,000x = 1,978,560 × 1,978,560
  4. Step 4: Simplify right side
    912,000x = 3,914,699,673,600
  5. Step 5: Solve for x
    x = 3,914,699,673,600/912,000
  6. Step 6: Final answer
    x = 4,292,433.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.