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Finding the Third Proportional to 767,642 and 1,623,856

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Solution

The third proportional to 767,642 and 1,623,856 is: 3,435,075.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,642 : 1,623,856 = 1,623,856 : x
  2. Step 2: Convert to fraction form
    767,642/1,623,856 = 1,623,856/x
  3. Step 3: Cross multiply
    767,642x = 1,623,856 × 1,623,856
  4. Step 4: Simplify right side
    767,642x = 2,636,908,308,736
  5. Step 5: Solve for x
    x = 2,636,908,308,736/767,642
  6. Step 6: Final answer
    x = 3,435,075.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.