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Finding the Third Proportional to 453,921.75 and 977,868

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Solution

The third proportional to 453,921.75 and 977,868 is: 2,106,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,921.75 : 977,868 = 977,868 : x
  2. Step 2: Convert to fraction form
    453,921.75/977,868 = 977,868/x
  3. Step 3: Cross multiply
    453,921.75x = 977,868 × 977,868
  4. Step 4: Simplify right side
    453,921.75x = 956,225,825,424
  5. Step 5: Solve for x
    x = 956,225,825,424/453,921.75
  6. Step 6: Final answer
    x = 2,106,587.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.