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Finding the Third Proportional to 560,870 and 870,113

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Solution

The third proportional to 560,870 and 870,113 is: 1,349,861.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,870 : 870,113 = 870,113 : x
  2. Step 2: Convert to fraction form
    560,870/870,113 = 870,113/x
  3. Step 3: Cross multiply
    560,870x = 870,113 × 870,113
  4. Step 4: Simplify right side
    560,870x = 757,096,632,769
  5. Step 5: Solve for x
    x = 757,096,632,769/560,870
  6. Step 6: Final answer
    x = 1,349,861.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.