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Finding the Third Proportional to 771,312 and 1,580,208

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Solution

The third proportional to 771,312 and 1,580,208 is: 3,237,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,312 : 1,580,208 = 1,580,208 : x
  2. Step 2: Convert to fraction form
    771,312/1,580,208 = 1,580,208/x
  3. Step 3: Cross multiply
    771,312x = 1,580,208 × 1,580,208
  4. Step 4: Simplify right side
    771,312x = 2,497,057,323,264
  5. Step 5: Solve for x
    x = 2,497,057,323,264/771,312
  6. Step 6: Final answer
    x = 3,237,415.37

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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.