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Finding the Third Proportional to 522,730 and 1,133,972

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Solution

The third proportional to 522,730 and 1,133,972 is: 2,459,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,730 : 1,133,972 = 1,133,972 : x
  2. Step 2: Convert to fraction form
    522,730/1,133,972 = 1,133,972/x
  3. Step 3: Cross multiply
    522,730x = 1,133,972 × 1,133,972
  4. Step 4: Simplify right side
    522,730x = 1,285,892,496,784
  5. Step 5: Solve for x
    x = 1,285,892,496,784/522,730
  6. Step 6: Final answer
    x = 2,459,955.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.