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Finding the Third Proportional to 673,284 and 1,475,340

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Solution

The third proportional to 673,284 and 1,475,340 is: 3,232,852.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,284 : 1,475,340 = 1,475,340 : x
  2. Step 2: Convert to fraction form
    673,284/1,475,340 = 1,475,340/x
  3. Step 3: Cross multiply
    673,284x = 1,475,340 × 1,475,340
  4. Step 4: Simplify right side
    673,284x = 2,176,628,115,600
  5. Step 5: Solve for x
    x = 2,176,628,115,600/673,284
  6. Step 6: Final answer
    x = 3,232,852.88

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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.