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Finding the Third Proportional to 530,946 and 1,155,204

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Solution

The third proportional to 530,946 and 1,155,204 is: 2,513,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,946 : 1,155,204 = 1,155,204 : x
  2. Step 2: Convert to fraction form
    530,946/1,155,204 = 1,155,204/x
  3. Step 3: Cross multiply
    530,946x = 1,155,204 × 1,155,204
  4. Step 4: Simplify right side
    530,946x = 1,334,496,281,616
  5. Step 5: Solve for x
    x = 1,334,496,281,616/530,946
  6. Step 6: Final answer
    x = 2,513,431.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.