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Finding the Third Proportional to 407,116 and 870,139

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Solution

The third proportional to 407,116 and 870,139 is: 1,859,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,116 : 870,139 = 870,139 : x
  2. Step 2: Convert to fraction form
    407,116/870,139 = 870,139/x
  3. Step 3: Cross multiply
    407,116x = 870,139 × 870,139
  4. Step 4: Simplify right side
    407,116x = 757,141,879,321
  5. Step 5: Solve for x
    x = 757,141,879,321/407,116
  6. Step 6: Final answer
    x = 1,859,769.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.