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Finding the Third Proportional to 739,416 and 1,104,196

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Solution

The third proportional to 739,416 and 1,104,196 is: 1,648,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,416 : 1,104,196 = 1,104,196 : x
  2. Step 2: Convert to fraction form
    739,416/1,104,196 = 1,104,196/x
  3. Step 3: Cross multiply
    739,416x = 1,104,196 × 1,104,196
  4. Step 4: Simplify right side
    739,416x = 1,219,248,806,416
  5. Step 5: Solve for x
    x = 1,219,248,806,416/739,416
  6. Step 6: Final answer
    x = 1,648,934.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.