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Finding the Third Proportional to 977,284 and 2,102,312

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Solution

The third proportional to 977,284 and 2,102,312 is: 4,522,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,284 : 2,102,312 = 2,102,312 : x
  2. Step 2: Convert to fraction form
    977,284/2,102,312 = 2,102,312/x
  3. Step 3: Cross multiply
    977,284x = 2,102,312 × 2,102,312
  4. Step 4: Simplify right side
    977,284x = 4,419,715,745,344
  5. Step 5: Solve for x
    x = 4,419,715,745,344/977,284
  6. Step 6: Final answer
    x = 4,522,447.67

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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.