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Finding the Third Proportional to 531,585 and 1,136,933

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Solution

The third proportional to 531,585 and 1,136,933 is: 2,431,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,585 : 1,136,933 = 1,136,933 : x
  2. Step 2: Convert to fraction form
    531,585/1,136,933 = 1,136,933/x
  3. Step 3: Cross multiply
    531,585x = 1,136,933 × 1,136,933
  4. Step 4: Simplify right side
    531,585x = 1,292,616,646,489
  5. Step 5: Solve for x
    x = 1,292,616,646,489/531,585
  6. Step 6: Final answer
    x = 2,431,627.39

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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.