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Finding the Third Proportional to 870,471 and 1,909,095.75

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Solution

The third proportional to 870,471 and 1,909,095.75 is: 4,186,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,471 : 1,909,095.75 = 1,909,095.75 : x
  2. Step 2: Convert to fraction form
    870,471/1,909,095.75 = 1,909,095.75/x
  3. Step 3: Cross multiply
    870,471x = 1,909,095.75 × 1,909,095.75
  4. Step 4: Simplify right side
    870,471x = 3,644,646,582,668.06
  5. Step 5: Solve for x
    x = 3,644,646,582,668.06/870,471
  6. Step 6: Final answer
    x = 4,186,982.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.