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Finding the Third Proportional to 708,616 and 1,511,836

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Solution

The third proportional to 708,616 and 1,511,836 is: 3,225,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,616 : 1,511,836 = 1,511,836 : x
  2. Step 2: Convert to fraction form
    708,616/1,511,836 = 1,511,836/x
  3. Step 3: Cross multiply
    708,616x = 1,511,836 × 1,511,836
  4. Step 4: Simplify right side
    708,616x = 2,285,648,090,896
  5. Step 5: Solve for x
    x = 2,285,648,090,896/708,616
  6. Step 6: Final answer
    x = 3,225,510.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.