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Finding the Third Proportional to 509,482 and 1,079,654

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Solution

The third proportional to 509,482 and 1,079,654 is: 2,287,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,482 : 1,079,654 = 1,079,654 : x
  2. Step 2: Convert to fraction form
    509,482/1,079,654 = 1,079,654/x
  3. Step 3: Cross multiply
    509,482x = 1,079,654 × 1,079,654
  4. Step 4: Simplify right side
    509,482x = 1,165,652,759,716
  5. Step 5: Solve for x
    x = 1,165,652,759,716/509,482
  6. Step 6: Final answer
    x = 2,287,917.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.