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Finding the Third Proportional to 962,562 and 1,411,011

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Solution

The third proportional to 962,562 and 1,411,011 is: 2,068,388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,562 : 1,411,011 = 1,411,011 : x
  2. Step 2: Convert to fraction form
    962,562/1,411,011 = 1,411,011/x
  3. Step 3: Cross multiply
    962,562x = 1,411,011 × 1,411,011
  4. Step 4: Simplify right side
    962,562x = 1,990,952,042,121
  5. Step 5: Solve for x
    x = 1,990,952,042,121/962,562
  6. Step 6: Final answer
    x = 2,068,388.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.