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Finding the Third Proportional to 1,300,305 and 1,725,368

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Solution

The third proportional to 1,300,305 and 1,725,368 is: 2,289,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,305 : 1,725,368 = 1,725,368 : x
  2. Step 2: Convert to fraction form
    1,300,305/1,725,368 = 1,725,368/x
  3. Step 3: Cross multiply
    1,300,305x = 1,725,368 × 1,725,368
  4. Step 4: Simplify right side
    1,300,305x = 2,976,894,735,424
  5. Step 5: Solve for x
    x = 2,976,894,735,424/1,300,305
  6. Step 6: Final answer
    x = 2,289,381.90

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.