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Finding the Third Proportional to 507,176 and 1,070,937

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Solution

The third proportional to 507,176 and 1,070,937 is: 2,261,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,176 : 1,070,937 = 1,070,937 : x
  2. Step 2: Convert to fraction form
    507,176/1,070,937 = 1,070,937/x
  3. Step 3: Cross multiply
    507,176x = 1,070,937 × 1,070,937
  4. Step 4: Simplify right side
    507,176x = 1,146,906,057,969
  5. Step 5: Solve for x
    x = 1,146,906,057,969/507,176
  6. Step 6: Final answer
    x = 2,261,357.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.