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Finding the Third Proportional to 559,482 and 1,207,414

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Solution

The third proportional to 559,482 and 1,207,414 is: 2,605,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,482 : 1,207,414 = 1,207,414 : x
  2. Step 2: Convert to fraction form
    559,482/1,207,414 = 1,207,414/x
  3. Step 3: Cross multiply
    559,482x = 1,207,414 × 1,207,414
  4. Step 4: Simplify right side
    559,482x = 1,457,848,567,396
  5. Step 5: Solve for x
    x = 1,457,848,567,396/559,482
  6. Step 6: Final answer
    x = 2,605,711.30

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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.