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Finding the Third Proportional to 977,324 and 2,121,760

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Solution

The third proportional to 977,324 and 2,121,760 is: 4,606,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,324 : 2,121,760 = 2,121,760 : x
  2. Step 2: Convert to fraction form
    977,324/2,121,760 = 2,121,760/x
  3. Step 3: Cross multiply
    977,324x = 2,121,760 × 2,121,760
  4. Step 4: Simplify right side
    977,324x = 4,501,865,497,600
  5. Step 5: Solve for x
    x = 4,501,865,497,600/977,324
  6. Step 6: Final answer
    x = 4,606,318.37

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Why These Related Problems?

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