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Finding the Third Proportional to 597,212 and 1,289,453

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Solution

The third proportional to 597,212 and 1,289,453 is: 2,784,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,212 : 1,289,453 = 1,289,453 : x
  2. Step 2: Convert to fraction form
    597,212/1,289,453 = 1,289,453/x
  3. Step 3: Cross multiply
    597,212x = 1,289,453 × 1,289,453
  4. Step 4: Simplify right side
    597,212x = 1,662,689,039,209
  5. Step 5: Solve for x
    x = 1,662,689,039,209/597,212
  6. Step 6: Final answer
    x = 2,784,085.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.