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Finding the Third Proportional to 704,416 and 1,373,536

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Solution

The third proportional to 704,416 and 1,373,536 is: 2,678,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,416 : 1,373,536 = 1,373,536 : x
  2. Step 2: Convert to fraction form
    704,416/1,373,536 = 1,373,536/x
  3. Step 3: Cross multiply
    704,416x = 1,373,536 × 1,373,536
  4. Step 4: Simplify right side
    704,416x = 1,886,601,143,296
  5. Step 5: Solve for x
    x = 1,886,601,143,296/704,416
  6. Step 6: Final answer
    x = 2,678,248.57

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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.