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Finding the Third Proportional to 507,080 and 1,101,730

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Solution

The third proportional to 507,080 and 1,101,730 is: 2,393,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,080 : 1,101,730 = 1,101,730 : x
  2. Step 2: Convert to fraction form
    507,080/1,101,730 = 1,101,730/x
  3. Step 3: Cross multiply
    507,080x = 1,101,730 × 1,101,730
  4. Step 4: Simplify right side
    507,080x = 1,213,808,992,900
  5. Step 5: Solve for x
    x = 1,213,808,992,900/507,080
  6. Step 6: Final answer
    x = 2,393,722.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.