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Finding the Third Proportional to 847,568 and 1,829,572

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Solution

The third proportional to 847,568 and 1,829,572 is: 3,949,339.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,568 : 1,829,572 = 1,829,572 : x
  2. Step 2: Convert to fraction form
    847,568/1,829,572 = 1,829,572/x
  3. Step 3: Cross multiply
    847,568x = 1,829,572 × 1,829,572
  4. Step 4: Simplify right side
    847,568x = 3,347,333,703,184
  5. Step 5: Solve for x
    x = 3,347,333,703,184/847,568
  6. Step 6: Final answer
    x = 3,949,339.41

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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.