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Finding the Third Proportional to 468,423.84 and 973,647.84

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Solution

The third proportional to 468,423.84 and 973,647.84 is: 2,023,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,423.84 : 973,647.84 = 973,647.84 : x
  2. Step 2: Convert to fraction form
    468,423.84/973,647.84 = 973,647.84/x
  3. Step 3: Cross multiply
    468,423.84x = 973,647.84 × 973,647.84
  4. Step 4: Simplify right side
    468,423.84x = 947,990,123,639.02
  5. Step 5: Solve for x
    x = 947,990,123,639.02/468,423.84
  6. Step 6: Final answer
    x = 2,023,787.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.