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Finding the Third Proportional to 1,929,953 and 4,116,394

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Solution

The third proportional to 1,929,953 and 4,116,394 is: 8,779,850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,953 : 4,116,394 = 4,116,394 : x
  2. Step 2: Convert to fraction form
    1,929,953/4,116,394 = 4,116,394/x
  3. Step 3: Cross multiply
    1,929,953x = 4,116,394 × 4,116,394
  4. Step 4: Simplify right side
    1,929,953x = 16,944,699,563,236
  5. Step 5: Solve for x
    x = 16,944,699,563,236/1,929,953
  6. Step 6: Final answer
    x = 8,779,850.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.