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Finding the Third Proportional to 698,665 and 1,496,929

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Solution

The third proportional to 698,665 and 1,496,929 is: 3,207,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,665 : 1,496,929 = 1,496,929 : x
  2. Step 2: Convert to fraction form
    698,665/1,496,929 = 1,496,929/x
  3. Step 3: Cross multiply
    698,665x = 1,496,929 × 1,496,929
  4. Step 4: Simplify right side
    698,665x = 2,240,796,431,041
  5. Step 5: Solve for x
    x = 2,240,796,431,041/698,665
  6. Step 6: Final answer
    x = 3,207,254.45

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Why These Related Problems?

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