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Finding the Third Proportional to 1,480,613 and 3,214,918

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Solution

The third proportional to 1,480,613 and 3,214,918 is: 6,980,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,613 : 3,214,918 = 3,214,918 : x
  2. Step 2: Convert to fraction form
    1,480,613/3,214,918 = 3,214,918/x
  3. Step 3: Cross multiply
    1,480,613x = 3,214,918 × 3,214,918
  4. Step 4: Simplify right side
    1,480,613x = 10,335,697,746,724
  5. Step 5: Solve for x
    x = 10,335,697,746,724/1,480,613
  6. Step 6: Final answer
    x = 6,980,688.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.