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Finding the Third Proportional to 492,467.34 and 1,078,354.90

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Solution

The third proportional to 492,467.34 and 1,078,354.90 is: 2,361,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,467.34 : 1,078,354.90 = 1,078,354.90 : x
  2. Step 2: Convert to fraction form
    492,467.34/1,078,354.90 = 1,078,354.90/x
  3. Step 3: Cross multiply
    492,467.34x = 1,078,354.90 × 1,078,354.90
  4. Step 4: Simplify right side
    492,467.34x = 1,162,849,286,984.15
  5. Step 5: Solve for x
    x = 1,162,849,286,984.15/492,467.34
  6. Step 6: Final answer
    x = 2,361,271.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.