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Finding the Third Proportional to 870,702,204 and 1,894,453,584

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Solution

The third proportional to 870,702,204 and 1,894,453,584 is: 4,121,908,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,702,204 : 1,894,453,584 = 1,894,453,584 : x
  2. Step 2: Convert to fraction form
    870,702,204/1,894,453,584 = 1,894,453,584/x
  3. Step 3: Cross multiply
    870,702,204x = 1,894,453,584 × 1,894,453,584
  4. Step 4: Simplify right side
    870,702,204x = 3,588,954,381,930,444,800
  5. Step 5: Solve for x
    x = 3,588,954,381,930,444,800/870,702,204
  6. Step 6: Final answer
    x = 4,121,908,001.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.