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Finding the Third Proportional to 566,516,415 and 1,219,126,434

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Solution

The third proportional to 566,516,415 and 1,219,126,434 is: 2,623,523,736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,516,415 : 1,219,126,434 = 1,219,126,434 : x
  2. Step 2: Convert to fraction form
    566,516,415/1,219,126,434 = 1,219,126,434/x
  3. Step 3: Cross multiply
    566,516,415x = 1,219,126,434 × 1,219,126,434
  4. Step 4: Simplify right side
    566,516,415x = 1,486,269,262,077,556,480
  5. Step 5: Solve for x
    x = 1,486,269,262,077,556,480/566,516,415
  6. Step 6: Final answer
    x = 2,623,523,736.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.