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Finding the Third Proportional to 684,543 and 1,065,495

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Solution

The third proportional to 684,543 and 1,065,495 is: 1,658,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,543 : 1,065,495 = 1,065,495 : x
  2. Step 2: Convert to fraction form
    684,543/1,065,495 = 1,065,495/x
  3. Step 3: Cross multiply
    684,543x = 1,065,495 × 1,065,495
  4. Step 4: Simplify right side
    684,543x = 1,135,279,595,025
  5. Step 5: Solve for x
    x = 1,135,279,595,025/684,543
  6. Step 6: Final answer
    x = 1,658,448.91

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.