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Finding the Third Proportional to 607,568 and 1,329,564

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Solution

The third proportional to 607,568 and 1,329,564 is: 2,909,535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,568 : 1,329,564 = 1,329,564 : x
  2. Step 2: Convert to fraction form
    607,568/1,329,564 = 1,329,564/x
  3. Step 3: Cross multiply
    607,568x = 1,329,564 × 1,329,564
  4. Step 4: Simplify right side
    607,568x = 1,767,740,430,096
  5. Step 5: Solve for x
    x = 1,767,740,430,096/607,568
  6. Step 6: Final answer
    x = 2,909,535.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.