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Finding the Third Proportional to 409,107,548 and 894,741,142

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Solution

The third proportional to 409,107,548 and 894,741,142 is: 1,956,849,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,107,548 : 894,741,142 = 894,741,142 : x
  2. Step 2: Convert to fraction form
    409,107,548/894,741,142 = 894,741,142/x
  3. Step 3: Cross multiply
    409,107,548x = 894,741,142 × 894,741,142
  4. Step 4: Simplify right side
    409,107,548x = 800,561,711,187,464,192
  5. Step 5: Solve for x
    x = 800,561,711,187,464,192/409,107,548
  6. Step 6: Final answer
    x = 1,956,849,036.64

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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.