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Finding the Third Proportional to 713,112 and 1,583,688

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Solution

The third proportional to 713,112 and 1,583,688 is: 3,517,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,112 : 1,583,688 = 1,583,688 : x
  2. Step 2: Convert to fraction form
    713,112/1,583,688 = 1,583,688/x
  3. Step 3: Cross multiply
    713,112x = 1,583,688 × 1,583,688
  4. Step 4: Simplify right side
    713,112x = 2,508,067,681,344
  5. Step 5: Solve for x
    x = 2,508,067,681,344/713,112
  6. Step 6: Final answer
    x = 3,517,074.01

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.