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Finding the Third Proportional to 630,638 and 1,480,523

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Solution

The third proportional to 630,638 and 1,480,523 is: 3,475,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,638 : 1,480,523 = 1,480,523 : x
  2. Step 2: Convert to fraction form
    630,638/1,480,523 = 1,480,523/x
  3. Step 3: Cross multiply
    630,638x = 1,480,523 × 1,480,523
  4. Step 4: Simplify right side
    630,638x = 2,191,948,353,529
  5. Step 5: Solve for x
    x = 2,191,948,353,529/630,638
  6. Step 6: Final answer
    x = 3,475,763.20

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.