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Finding the Third Proportional to 673,478 and 1,045,635

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Solution

The third proportional to 673,478 and 1,045,635 is: 1,623,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,478 : 1,045,635 = 1,045,635 : x
  2. Step 2: Convert to fraction form
    673,478/1,045,635 = 1,045,635/x
  3. Step 3: Cross multiply
    673,478x = 1,045,635 × 1,045,635
  4. Step 4: Simplify right side
    673,478x = 1,093,352,553,225
  5. Step 5: Solve for x
    x = 1,093,352,553,225/673,478
  6. Step 6: Final answer
    x = 1,623,442.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.