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Finding the Third Proportional to 502,856 and 1,101,369

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Solution

The third proportional to 502,856 and 1,101,369 is: 2,412,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,856 : 1,101,369 = 1,101,369 : x
  2. Step 2: Convert to fraction form
    502,856/1,101,369 = 1,101,369/x
  3. Step 3: Cross multiply
    502,856x = 1,101,369 × 1,101,369
  4. Step 4: Simplify right side
    502,856x = 1,213,013,674,161
  5. Step 5: Solve for x
    x = 1,213,013,674,161/502,856
  6. Step 6: Final answer
    x = 2,412,248.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.