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Finding the Third Proportional to 515,700 and 1,219,347

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Solution

The third proportional to 515,700 and 1,219,347 is: 2,883,085.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,700 : 1,219,347 = 1,219,347 : x
  2. Step 2: Convert to fraction form
    515,700/1,219,347 = 1,219,347/x
  3. Step 3: Cross multiply
    515,700x = 1,219,347 × 1,219,347
  4. Step 4: Simplify right side
    515,700x = 1,486,807,106,409
  5. Step 5: Solve for x
    x = 1,486,807,106,409/515,700
  6. Step 6: Final answer
    x = 2,883,085.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.