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Finding the Third Proportional to 534,894 and 1,175,196

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Solution

The third proportional to 534,894 and 1,175,196 is: 2,581,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,894 : 1,175,196 = 1,175,196 : x
  2. Step 2: Convert to fraction form
    534,894/1,175,196 = 1,175,196/x
  3. Step 3: Cross multiply
    534,894x = 1,175,196 × 1,175,196
  4. Step 4: Simplify right side
    534,894x = 1,381,085,638,416
  5. Step 5: Solve for x
    x = 1,381,085,638,416/534,894
  6. Step 6: Final answer
    x = 2,581,980.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.