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Finding the Third Proportional to 604,835 and 893,463

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Solution

The third proportional to 604,835 and 893,463 is: 1,319,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,835 : 893,463 = 893,463 : x
  2. Step 2: Convert to fraction form
    604,835/893,463 = 893,463/x
  3. Step 3: Cross multiply
    604,835x = 893,463 × 893,463
  4. Step 4: Simplify right side
    604,835x = 798,276,132,369
  5. Step 5: Solve for x
    x = 798,276,132,369/604,835
  6. Step 6: Final answer
    x = 1,319,824.63

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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.