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Finding the Third Proportional to 645,742 and 1,007,856

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Solution

The third proportional to 645,742 and 1,007,856 is: 1,573,033.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,742 : 1,007,856 = 1,007,856 : x
  2. Step 2: Convert to fraction form
    645,742/1,007,856 = 1,007,856/x
  3. Step 3: Cross multiply
    645,742x = 1,007,856 × 1,007,856
  4. Step 4: Simplify right side
    645,742x = 1,015,773,716,736
  5. Step 5: Solve for x
    x = 1,015,773,716,736/645,742
  6. Step 6: Final answer
    x = 1,573,033.37

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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.