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Finding the Third Proportional to 510,288 and 1,117,856

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Solution

The third proportional to 510,288 and 1,117,856 is: 2,448,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,288 : 1,117,856 = 1,117,856 : x
  2. Step 2: Convert to fraction form
    510,288/1,117,856 = 1,117,856/x
  3. Step 3: Cross multiply
    510,288x = 1,117,856 × 1,117,856
  4. Step 4: Simplify right side
    510,288x = 1,249,602,036,736
  5. Step 5: Solve for x
    x = 1,249,602,036,736/510,288
  6. Step 6: Final answer
    x = 2,448,817.21

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Why These Related Problems?

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