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Finding the Third Proportional to 660,762 and 1,050,219

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Solution

The third proportional to 660,762 and 1,050,219 is: 1,669,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,762 : 1,050,219 = 1,050,219 : x
  2. Step 2: Convert to fraction form
    660,762/1,050,219 = 1,050,219/x
  3. Step 3: Cross multiply
    660,762x = 1,050,219 × 1,050,219
  4. Step 4: Simplify right side
    660,762x = 1,102,959,947,961
  5. Step 5: Solve for x
    x = 1,102,959,947,961/660,762
  6. Step 6: Final answer
    x = 1,669,224.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.