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Finding the Third Proportional to 685,332 and 1,004,616

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Solution

The third proportional to 685,332 and 1,004,616 is: 1,472,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,332 : 1,004,616 = 1,004,616 : x
  2. Step 2: Convert to fraction form
    685,332/1,004,616 = 1,004,616/x
  3. Step 3: Cross multiply
    685,332x = 1,004,616 × 1,004,616
  4. Step 4: Simplify right side
    685,332x = 1,009,253,307,456
  5. Step 5: Solve for x
    x = 1,009,253,307,456/685,332
  6. Step 6: Final answer
    x = 1,472,648.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.