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Finding the Third Proportional to 604,644 and 893,128

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Solution

The third proportional to 604,644 and 893,128 is: 1,319,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,644 : 893,128 = 893,128 : x
  2. Step 2: Convert to fraction form
    604,644/893,128 = 893,128/x
  3. Step 3: Cross multiply
    604,644x = 893,128 × 893,128
  4. Step 4: Simplify right side
    604,644x = 797,677,624,384
  5. Step 5: Solve for x
    x = 797,677,624,384/604,644
  6. Step 6: Final answer
    x = 1,319,251.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.