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Finding the Third Proportional to 452,548 and 893,678

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Solution

The third proportional to 452,548 and 893,678 is: 1,764,808.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,548 : 893,678 = 893,678 : x
  2. Step 2: Convert to fraction form
    452,548/893,678 = 893,678/x
  3. Step 3: Cross multiply
    452,548x = 893,678 × 893,678
  4. Step 4: Simplify right side
    452,548x = 798,660,367,684
  5. Step 5: Solve for x
    x = 798,660,367,684/452,548
  6. Step 6: Final answer
    x = 1,764,808.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.