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Finding the Third Proportional to 778,315 and 1,704,253

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Solution

The third proportional to 778,315 and 1,704,253 is: 3,731,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,315 : 1,704,253 = 1,704,253 : x
  2. Step 2: Convert to fraction form
    778,315/1,704,253 = 1,704,253/x
  3. Step 3: Cross multiply
    778,315x = 1,704,253 × 1,704,253
  4. Step 4: Simplify right side
    778,315x = 2,904,478,288,009
  5. Step 5: Solve for x
    x = 2,904,478,288,009/778,315
  6. Step 6: Final answer
    x = 3,731,751.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.