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Finding the Third Proportional to 510,068 and 1,056,982

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Solution

The third proportional to 510,068 and 1,056,982 is: 2,190,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,068 : 1,056,982 = 1,056,982 : x
  2. Step 2: Convert to fraction form
    510,068/1,056,982 = 1,056,982/x
  3. Step 3: Cross multiply
    510,068x = 1,056,982 × 1,056,982
  4. Step 4: Simplify right side
    510,068x = 1,117,210,948,324
  5. Step 5: Solve for x
    x = 1,117,210,948,324/510,068
  6. Step 6: Final answer
    x = 2,190,317.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.