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Finding the Third Proportional to 429,240,228 and 929,789,646

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Solution

The third proportional to 429,240,228 and 929,789,646 is: 2,014,044,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,240,228 : 929,789,646 = 929,789,646 : x
  2. Step 2: Convert to fraction form
    429,240,228/929,789,646 = 929,789,646/x
  3. Step 3: Cross multiply
    429,240,228x = 929,789,646 × 929,789,646
  4. Step 4: Simplify right side
    429,240,228x = 864,508,785,808,805,376
  5. Step 5: Solve for x
    x = 864,508,785,808,805,376/429,240,228
  6. Step 6: Final answer
    x = 2,014,044,186.48

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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.