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Finding the Third Proportional to 506,877 and 1,097,403

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Solution

The third proportional to 506,877 and 1,097,403 is: 2,375,908.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,877 : 1,097,403 = 1,097,403 : x
  2. Step 2: Convert to fraction form
    506,877/1,097,403 = 1,097,403/x
  3. Step 3: Cross multiply
    506,877x = 1,097,403 × 1,097,403
  4. Step 4: Simplify right side
    506,877x = 1,204,293,344,409
  5. Step 5: Solve for x
    x = 1,204,293,344,409/506,877
  6. Step 6: Final answer
    x = 2,375,908.44

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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.