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Finding the Third Proportional to 604,842 and 893,472

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Solution

The third proportional to 604,842 and 893,472 is: 1,319,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,842 : 893,472 = 893,472 : x
  2. Step 2: Convert to fraction form
    604,842/893,472 = 893,472/x
  3. Step 3: Cross multiply
    604,842x = 893,472 × 893,472
  4. Step 4: Simplify right side
    604,842x = 798,292,214,784
  5. Step 5: Solve for x
    x = 798,292,214,784/604,842
  6. Step 6: Final answer
    x = 1,319,835.95

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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.