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Finding the Third Proportional to 531,792 and 1,138,334.63

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Solution

The third proportional to 531,792 and 1,138,334.63 is: 2,436,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,792 : 1,138,334.63 = 1,138,334.63 : x
  2. Step 2: Convert to fraction form
    531,792/1,138,334.63 = 1,138,334.63/x
  3. Step 3: Cross multiply
    531,792x = 1,138,334.63 × 1,138,334.63
  4. Step 4: Simplify right side
    531,792x = 1,295,805,718,473.89
  5. Step 5: Solve for x
    x = 1,295,805,718,473.89/531,792
  6. Step 6: Final answer
    x = 2,436,677.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.