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Finding the Third Proportional to 520,878 and 1,056,246

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Solution

The third proportional to 520,878 and 1,056,246 is: 2,141,875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,878 : 1,056,246 = 1,056,246 : x
  2. Step 2: Convert to fraction form
    520,878/1,056,246 = 1,056,246/x
  3. Step 3: Cross multiply
    520,878x = 1,056,246 × 1,056,246
  4. Step 4: Simplify right side
    520,878x = 1,115,655,612,516
  5. Step 5: Solve for x
    x = 1,115,655,612,516/520,878
  6. Step 6: Final answer
    x = 2,141,875.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.