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Finding the Third Proportional to 716,621 and 1,084,196

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Solution

The third proportional to 716,621 and 1,084,196 is: 1,640,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,621 : 1,084,196 = 1,084,196 : x
  2. Step 2: Convert to fraction form
    716,621/1,084,196 = 1,084,196/x
  3. Step 3: Cross multiply
    716,621x = 1,084,196 × 1,084,196
  4. Step 4: Simplify right side
    716,621x = 1,175,480,966,416
  5. Step 5: Solve for x
    x = 1,175,480,966,416/716,621
  6. Step 6: Final answer
    x = 1,640,310.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.