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Finding the Third Proportional to 698,796 and 1,054,836

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Solution

The third proportional to 698,796 and 1,054,836 is: 1,592,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,796 : 1,054,836 = 1,054,836 : x
  2. Step 2: Convert to fraction form
    698,796/1,054,836 = 1,054,836/x
  3. Step 3: Cross multiply
    698,796x = 1,054,836 × 1,054,836
  4. Step 4: Simplify right side
    698,796x = 1,112,678,986,896
  5. Step 5: Solve for x
    x = 1,112,678,986,896/698,796
  6. Step 6: Final answer
    x = 1,592,280.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.