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Finding the Third Proportional to 517,316 and 1,130,824

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Solution

The third proportional to 517,316 and 1,130,824 is: 2,471,918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,316 : 1,130,824 = 1,130,824 : x
  2. Step 2: Convert to fraction form
    517,316/1,130,824 = 1,130,824/x
  3. Step 3: Cross multiply
    517,316x = 1,130,824 × 1,130,824
  4. Step 4: Simplify right side
    517,316x = 1,278,762,918,976
  5. Step 5: Solve for x
    x = 1,278,762,918,976/517,316
  6. Step 6: Final answer
    x = 2,471,918.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.