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Finding the Third Proportional to 608,848 and 964,038

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Solution

The third proportional to 608,848 and 964,038 is: 1,526,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,848 : 964,038 = 964,038 : x
  2. Step 2: Convert to fraction form
    608,848/964,038 = 964,038/x
  3. Step 3: Cross multiply
    608,848x = 964,038 × 964,038
  4. Step 4: Simplify right side
    608,848x = 929,369,265,444
  5. Step 5: Solve for x
    x = 929,369,265,444/608,848
  6. Step 6: Final answer
    x = 1,526,438.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.