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Finding the Third Proportional to 684,849 and 1,064,574

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Solution

The third proportional to 684,849 and 1,064,574 is: 1,654,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,849 : 1,064,574 = 1,064,574 : x
  2. Step 2: Convert to fraction form
    684,849/1,064,574 = 1,064,574/x
  3. Step 3: Cross multiply
    684,849x = 1,064,574 × 1,064,574
  4. Step 4: Simplify right side
    684,849x = 1,133,317,801,476
  5. Step 5: Solve for x
    x = 1,133,317,801,476/684,849
  6. Step 6: Final answer
    x = 1,654,843.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.