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Finding the Third Proportional to 510,410,324 and 1,119,637,192

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Solution

The third proportional to 510,410,324 and 1,119,637,192 is: 2,456,038,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,410,324 : 1,119,637,192 = 1,119,637,192 : x
  2. Step 2: Convert to fraction form
    510,410,324/1,119,637,192 = 1,119,637,192/x
  3. Step 3: Cross multiply
    510,410,324x = 1,119,637,192 × 1,119,637,192
  4. Step 4: Simplify right side
    510,410,324x = 1,253,587,441,709,644,800
  5. Step 5: Solve for x
    x = 1,253,587,441,709,644,800/510,410,324
  6. Step 6: Final answer
    x = 2,456,038,568.90

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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.