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Finding the Third Proportional to 532,640 and 1,168,736

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Solution

The third proportional to 532,640 and 1,168,736 is: 2,564,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,640 : 1,168,736 = 1,168,736 : x
  2. Step 2: Convert to fraction form
    532,640/1,168,736 = 1,168,736/x
  3. Step 3: Cross multiply
    532,640x = 1,168,736 × 1,168,736
  4. Step 4: Simplify right side
    532,640x = 1,365,943,837,696
  5. Step 5: Solve for x
    x = 1,365,943,837,696/532,640
  6. Step 6: Final answer
    x = 2,564,478.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.