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Finding the Third Proportional to 617,848 and 924,535

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Solution

The third proportional to 617,848 and 924,535 is: 1,383,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,848 : 924,535 = 924,535 : x
  2. Step 2: Convert to fraction form
    617,848/924,535 = 924,535/x
  3. Step 3: Cross multiply
    617,848x = 924,535 × 924,535
  4. Step 4: Simplify right side
    617,848x = 854,764,966,225
  5. Step 5: Solve for x
    x = 854,764,966,225/617,848
  6. Step 6: Final answer
    x = 1,383,455.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.