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Finding the Third Proportional to 1,300,297 and 1,725,356

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Solution

The third proportional to 1,300,297 and 1,725,356 is: 2,289,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,297 : 1,725,356 = 1,725,356 : x
  2. Step 2: Convert to fraction form
    1,300,297/1,725,356 = 1,725,356/x
  3. Step 3: Cross multiply
    1,300,297x = 1,725,356 × 1,725,356
  4. Step 4: Simplify right side
    1,300,297x = 2,976,853,326,736
  5. Step 5: Solve for x
    x = 2,976,853,326,736/1,300,297
  6. Step 6: Final answer
    x = 2,289,364.14

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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.