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Finding the Third Proportional to 516,444 and 1,114,464

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Solution

The third proportional to 516,444 and 1,114,464 is: 2,404,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,444 : 1,114,464 = 1,114,464 : x
  2. Step 2: Convert to fraction form
    516,444/1,114,464 = 1,114,464/x
  3. Step 3: Cross multiply
    516,444x = 1,114,464 × 1,114,464
  4. Step 4: Simplify right side
    516,444x = 1,242,030,007,296
  5. Step 5: Solve for x
    x = 1,242,030,007,296/516,444
  6. Step 6: Final answer
    x = 2,404,965.51

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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.