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Finding the Third Proportional to 771,282 and 1,580,148

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Solution

The third proportional to 771,282 and 1,580,148 is: 3,237,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,282 : 1,580,148 = 1,580,148 : x
  2. Step 2: Convert to fraction form
    771,282/1,580,148 = 1,580,148/x
  3. Step 3: Cross multiply
    771,282x = 1,580,148 × 1,580,148
  4. Step 4: Simplify right side
    771,282x = 2,496,867,701,904
  5. Step 5: Solve for x
    x = 2,496,867,701,904/771,282
  6. Step 6: Final answer
    x = 3,237,295.44

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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.