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Finding the Third Proportional to 698,213 and 1,067,609

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Solution

The third proportional to 698,213 and 1,067,609 is: 1,632,437.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,213 : 1,067,609 = 1,067,609 : x
  2. Step 2: Convert to fraction form
    698,213/1,067,609 = 1,067,609/x
  3. Step 3: Cross multiply
    698,213x = 1,067,609 × 1,067,609
  4. Step 4: Simplify right side
    698,213x = 1,139,788,976,881
  5. Step 5: Solve for x
    x = 1,139,788,976,881/698,213
  6. Step 6: Final answer
    x = 1,632,437.35

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.