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Finding the Third Proportional to 530,496 and 1,159,947

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Solution

The third proportional to 530,496 and 1,159,947 is: 2,536,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,496 : 1,159,947 = 1,159,947 : x
  2. Step 2: Convert to fraction form
    530,496/1,159,947 = 1,159,947/x
  3. Step 3: Cross multiply
    530,496x = 1,159,947 × 1,159,947
  4. Step 4: Simplify right side
    530,496x = 1,345,477,042,809
  5. Step 5: Solve for x
    x = 1,345,477,042,809/530,496
  6. Step 6: Final answer
    x = 2,536,262.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.