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Finding the Third Proportional to 530,848.13 and 1,146,165.75

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Solution

The third proportional to 530,848.13 and 1,146,165.75 is: 2,474,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,848.13 : 1,146,165.75 = 1,146,165.75 : x
  2. Step 2: Convert to fraction form
    530,848.13/1,146,165.75 = 1,146,165.75/x
  3. Step 3: Cross multiply
    530,848.13x = 1,146,165.75 × 1,146,165.75
  4. Step 4: Simplify right side
    530,848.13x = 1,313,695,926,473.06
  5. Step 5: Solve for x
    x = 1,313,695,926,473.06/530,848.13
  6. Step 6: Final answer
    x = 2,474,711.44

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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.