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Finding the Third Proportional to 520,803 and 1,141,317

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Solution

The third proportional to 520,803 and 1,141,317 is: 2,501,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,803 : 1,141,317 = 1,141,317 : x
  2. Step 2: Convert to fraction form
    520,803/1,141,317 = 1,141,317/x
  3. Step 3: Cross multiply
    520,803x = 1,141,317 × 1,141,317
  4. Step 4: Simplify right side
    520,803x = 1,302,604,494,489
  5. Step 5: Solve for x
    x = 1,302,604,494,489/520,803
  6. Step 6: Final answer
    x = 2,501,146.30

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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.