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Finding the Third Proportional to 976,347 and 2,126,196

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Solution

The third proportional to 976,347 and 2,126,196 is: 4,630,228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,347 : 2,126,196 = 2,126,196 : x
  2. Step 2: Convert to fraction form
    976,347/2,126,196 = 2,126,196/x
  3. Step 3: Cross multiply
    976,347x = 2,126,196 × 2,126,196
  4. Step 4: Simplify right side
    976,347x = 4,520,709,430,416
  5. Step 5: Solve for x
    x = 4,520,709,430,416/976,347
  6. Step 6: Final answer
    x = 4,630,228.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.