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Finding the Third Proportional to 870,644 and 1,820,008

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Solution

The third proportional to 870,644 and 1,820,008 is: 3,804,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,644 : 1,820,008 = 1,820,008 : x
  2. Step 2: Convert to fraction form
    870,644/1,820,008 = 1,820,008/x
  3. Step 3: Cross multiply
    870,644x = 1,820,008 × 1,820,008
  4. Step 4: Simplify right side
    870,644x = 3,312,429,120,064
  5. Step 5: Solve for x
    x = 3,312,429,120,064/870,644
  6. Step 6: Final answer
    x = 3,804,573.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.