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Finding the Third Proportional to 698,846 and 1,497,356

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Solution

The third proportional to 698,846 and 1,497,356 is: 3,208,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,846 : 1,497,356 = 1,497,356 : x
  2. Step 2: Convert to fraction form
    698,846/1,497,356 = 1,497,356/x
  3. Step 3: Cross multiply
    698,846x = 1,497,356 × 1,497,356
  4. Step 4: Simplify right side
    698,846x = 2,242,074,990,736
  5. Step 5: Solve for x
    x = 2,242,074,990,736/698,846
  6. Step 6: Final answer
    x = 3,208,253.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.