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Finding the Third Proportional to 515,146 and 1,133,062

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Solution

The third proportional to 515,146 and 1,133,062 is: 2,492,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,146 : 1,133,062 = 1,133,062 : x
  2. Step 2: Convert to fraction form
    515,146/1,133,062 = 1,133,062/x
  3. Step 3: Cross multiply
    515,146x = 1,133,062 × 1,133,062
  4. Step 4: Simplify right side
    515,146x = 1,283,829,495,844
  5. Step 5: Solve for x
    x = 1,283,829,495,844/515,146
  6. Step 6: Final answer
    x = 2,492,166.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.