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Finding the Third Proportional to 698,618 and 1,051,995

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Solution

The third proportional to 698,618 and 1,051,995 is: 1,584,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,618 : 1,051,995 = 1,051,995 : x
  2. Step 2: Convert to fraction form
    698,618/1,051,995 = 1,051,995/x
  3. Step 3: Cross multiply
    698,618x = 1,051,995 × 1,051,995
  4. Step 4: Simplify right side
    698,618x = 1,106,693,480,025
  5. Step 5: Solve for x
    x = 1,106,693,480,025/698,618
  6. Step 6: Final answer
    x = 1,584,118.19

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