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Finding the Third Proportional to 704,412 and 1,373,544

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Solution

The third proportional to 704,412 and 1,373,544 is: 2,678,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,412 : 1,373,544 = 1,373,544 : x
  2. Step 2: Convert to fraction form
    704,412/1,373,544 = 1,373,544/x
  3. Step 3: Cross multiply
    704,412x = 1,373,544 × 1,373,544
  4. Step 4: Simplify right side
    704,412x = 1,886,623,119,936
  5. Step 5: Solve for x
    x = 1,886,623,119,936/704,412
  6. Step 6: Final answer
    x = 2,678,294.98

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.