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Finding the Third Proportional to 543,460 and 1,191,788

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Solution

The third proportional to 543,460 and 1,191,788 is: 2,613,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,460 : 1,191,788 = 1,191,788 : x
  2. Step 2: Convert to fraction form
    543,460/1,191,788 = 1,191,788/x
  3. Step 3: Cross multiply
    543,460x = 1,191,788 × 1,191,788
  4. Step 4: Simplify right side
    543,460x = 1,420,358,636,944
  5. Step 5: Solve for x
    x = 1,420,358,636,944/543,460
  6. Step 6: Final answer
    x = 2,613,547.71

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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.