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Finding the Third Proportional to 534,913.50 and 1,154,091

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Solution

The third proportional to 534,913.50 and 1,154,091 is: 2,489,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,913.50 : 1,154,091 = 1,154,091 : x
  2. Step 2: Convert to fraction form
    534,913.50/1,154,091 = 1,154,091/x
  3. Step 3: Cross multiply
    534,913.50x = 1,154,091 × 1,154,091
  4. Step 4: Simplify right side
    534,913.50x = 1,331,926,036,281
  5. Step 5: Solve for x
    x = 1,331,926,036,281/534,913.50
  6. Step 6: Final answer
    x = 2,489,983.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.