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Finding the Third Proportional to 678,902 and 1,413,584

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Solution

The third proportional to 678,902 and 1,413,584 is: 2,943,311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,902 : 1,413,584 = 1,413,584 : x
  2. Step 2: Convert to fraction form
    678,902/1,413,584 = 1,413,584/x
  3. Step 3: Cross multiply
    678,902x = 1,413,584 × 1,413,584
  4. Step 4: Simplify right side
    678,902x = 1,998,219,725,056
  5. Step 5: Solve for x
    x = 1,998,219,725,056/678,902
  6. Step 6: Final answer
    x = 2,943,311.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.