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Finding the Third Proportional to 617,208 and 1,346,448

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Solution

The third proportional to 617,208 and 1,346,448 is: 2,937,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,208 : 1,346,448 = 1,346,448 : x
  2. Step 2: Convert to fraction form
    617,208/1,346,448 = 1,346,448/x
  3. Step 3: Cross multiply
    617,208x = 1,346,448 × 1,346,448
  4. Step 4: Simplify right side
    617,208x = 1,812,922,216,704
  5. Step 5: Solve for x
    x = 1,812,922,216,704/617,208
  6. Step 6: Final answer
    x = 2,937,295.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.