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Finding the Third Proportional to 572,053 and 1,242,517

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Solution

The third proportional to 572,053 and 1,242,517 is: 2,698,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,053 : 1,242,517 = 1,242,517 : x
  2. Step 2: Convert to fraction form
    572,053/1,242,517 = 1,242,517/x
  3. Step 3: Cross multiply
    572,053x = 1,242,517 × 1,242,517
  4. Step 4: Simplify right side
    572,053x = 1,543,848,495,289
  5. Step 5: Solve for x
    x = 1,543,848,495,289/572,053
  6. Step 6: Final answer
    x = 2,698,785.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.