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Finding the Third Proportional to 870,720 and 1,276,272

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Solution

The third proportional to 870,720 and 1,276,272 is: 1,870,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,720 : 1,276,272 = 1,276,272 : x
  2. Step 2: Convert to fraction form
    870,720/1,276,272 = 1,276,272/x
  3. Step 3: Cross multiply
    870,720x = 1,276,272 × 1,276,272
  4. Step 4: Simplify right side
    870,720x = 1,628,870,217,984
  5. Step 5: Solve for x
    x = 1,628,870,217,984/870,720
  6. Step 6: Final answer
    x = 1,870,716.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.