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Finding the Third Proportional to 507,192 and 1,070,964

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Solution

The third proportional to 507,192 and 1,070,964 is: 2,261,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,192 : 1,070,964 = 1,070,964 : x
  2. Step 2: Convert to fraction form
    507,192/1,070,964 = 1,070,964/x
  3. Step 3: Cross multiply
    507,192x = 1,070,964 × 1,070,964
  4. Step 4: Simplify right side
    507,192x = 1,146,963,889,296
  5. Step 5: Solve for x
    x = 1,146,963,889,296/507,192
  6. Step 6: Final answer
    x = 2,261,399.80

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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.