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Finding the Third Proportional to 976,363 and 2,000,293

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Solution

The third proportional to 976,363 and 2,000,293 is: 4,098,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,363 : 2,000,293 = 2,000,293 : x
  2. Step 2: Convert to fraction form
    976,363/2,000,293 = 2,000,293/x
  3. Step 3: Cross multiply
    976,363x = 2,000,293 × 2,000,293
  4. Step 4: Simplify right side
    976,363x = 4,001,172,085,849
  5. Step 5: Solve for x
    x = 4,001,172,085,849/976,363
  6. Step 6: Final answer
    x = 4,098,037.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.