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Finding the Third Proportional to 685,446 and 1,054,281

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Solution

The third proportional to 685,446 and 1,054,281 is: 1,621,584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,446 : 1,054,281 = 1,054,281 : x
  2. Step 2: Convert to fraction form
    685,446/1,054,281 = 1,054,281/x
  3. Step 3: Cross multiply
    685,446x = 1,054,281 × 1,054,281
  4. Step 4: Simplify right side
    685,446x = 1,111,508,426,961
  5. Step 5: Solve for x
    x = 1,111,508,426,961/685,446
  6. Step 6: Final answer
    x = 1,621,584.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.