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Finding the Third Proportional to 559,714 and 1,207,880

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Solution

The third proportional to 559,714 and 1,207,880 is: 2,606,642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,714 : 1,207,880 = 1,207,880 : x
  2. Step 2: Convert to fraction form
    559,714/1,207,880 = 1,207,880/x
  3. Step 3: Cross multiply
    559,714x = 1,207,880 × 1,207,880
  4. Step 4: Simplify right side
    559,714x = 1,458,974,094,400
  5. Step 5: Solve for x
    x = 1,458,974,094,400/559,714
  6. Step 6: Final answer
    x = 2,606,642.13

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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.