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Finding the Third Proportional to 515,152 and 1,121,827

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Solution

The third proportional to 515,152 and 1,121,827 is: 2,442,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,152 : 1,121,827 = 1,121,827 : x
  2. Step 2: Convert to fraction form
    515,152/1,121,827 = 1,121,827/x
  3. Step 3: Cross multiply
    515,152x = 1,121,827 × 1,121,827
  4. Step 4: Simplify right side
    515,152x = 1,258,495,817,929
  5. Step 5: Solve for x
    x = 1,258,495,817,929/515,152
  6. Step 6: Final answer
    x = 2,442,960.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.