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Finding the Third Proportional to 530,448 and 1,085,409

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Solution

The third proportional to 530,448 and 1,085,409 is: 2,220,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,448 : 1,085,409 = 1,085,409 : x
  2. Step 2: Convert to fraction form
    530,448/1,085,409 = 1,085,409/x
  3. Step 3: Cross multiply
    530,448x = 1,085,409 × 1,085,409
  4. Step 4: Simplify right side
    530,448x = 1,178,112,697,281
  5. Step 5: Solve for x
    x = 1,178,112,697,281/530,448
  6. Step 6: Final answer
    x = 2,220,976.79

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.