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Finding the Third Proportional to 507,618 and 1,128,704

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Solution

The third proportional to 507,618 and 1,128,704 is: 2,509,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,618 : 1,128,704 = 1,128,704 : x
  2. Step 2: Convert to fraction form
    507,618/1,128,704 = 1,128,704/x
  3. Step 3: Cross multiply
    507,618x = 1,128,704 × 1,128,704
  4. Step 4: Simplify right side
    507,618x = 1,273,972,719,616
  5. Step 5: Solve for x
    x = 1,273,972,719,616/507,618
  6. Step 6: Final answer
    x = 2,509,707.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.