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Finding the Third Proportional to 543,654 and 1,176,906

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Solution

The third proportional to 543,654 and 1,176,906 is: 2,547,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,654 : 1,176,906 = 1,176,906 : x
  2. Step 2: Convert to fraction form
    543,654/1,176,906 = 1,176,906/x
  3. Step 3: Cross multiply
    543,654x = 1,176,906 × 1,176,906
  4. Step 4: Simplify right side
    543,654x = 1,385,107,732,836
  5. Step 5: Solve for x
    x = 1,385,107,732,836/543,654
  6. Step 6: Final answer
    x = 2,547,774.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.