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Finding the Third Proportional to 560,862 and 870,102

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Solution

The third proportional to 560,862 and 870,102 is: 1,349,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,862 : 870,102 = 870,102 : x
  2. Step 2: Convert to fraction form
    560,862/870,102 = 870,102/x
  3. Step 3: Cross multiply
    560,862x = 870,102 × 870,102
  4. Step 4: Simplify right side
    560,862x = 757,077,490,404
  5. Step 5: Solve for x
    x = 757,077,490,404/560,862
  6. Step 6: Final answer
    x = 1,349,846.29

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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.