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Finding the Third Proportional to 536,312 and 1,059,088

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Solution

The third proportional to 536,312 and 1,059,088 is: 2,091,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,312 : 1,059,088 = 1,059,088 : x
  2. Step 2: Convert to fraction form
    536,312/1,059,088 = 1,059,088/x
  3. Step 3: Cross multiply
    536,312x = 1,059,088 × 1,059,088
  4. Step 4: Simplify right side
    536,312x = 1,121,667,391,744
  5. Step 5: Solve for x
    x = 1,121,667,391,744/536,312
  6. Step 6: Final answer
    x = 2,091,445.64

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.