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Finding the Third Proportional to 509,427 and 1,107,315

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Solution

The third proportional to 509,427 and 1,107,315 is: 2,406,913.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,427 : 1,107,315 = 1,107,315 : x
  2. Step 2: Convert to fraction form
    509,427/1,107,315 = 1,107,315/x
  3. Step 3: Cross multiply
    509,427x = 1,107,315 × 1,107,315
  4. Step 4: Simplify right side
    509,427x = 1,226,146,509,225
  5. Step 5: Solve for x
    x = 1,226,146,509,225/509,427
  6. Step 6: Final answer
    x = 2,406,913.08

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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.