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Finding the Third Proportional to 517,842 and 1,107,646

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Solution

The third proportional to 517,842 and 1,107,646 is: 2,369,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,842 : 1,107,646 = 1,107,646 : x
  2. Step 2: Convert to fraction form
    517,842/1,107,646 = 1,107,646/x
  3. Step 3: Cross multiply
    517,842x = 1,107,646 × 1,107,646
  4. Step 4: Simplify right side
    517,842x = 1,226,879,661,316
  5. Step 5: Solve for x
    x = 1,226,879,661,316/517,842
  6. Step 6: Final answer
    x = 2,369,216.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.