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Finding the Third Proportional to 970,804.13 and 2,112,053.06

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Solution

The third proportional to 970,804.13 and 2,112,053.06 is: 4,594,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,804.13 : 2,112,053.06 = 2,112,053.06 : x
  2. Step 2: Convert to fraction form
    970,804.13/2,112,053.06 = 2,112,053.06/x
  3. Step 3: Cross multiply
    970,804.13x = 2,112,053.06 × 2,112,053.06
  4. Step 4: Simplify right side
    970,804.13x = 4,460,768,138,815.63
  5. Step 5: Solve for x
    x = 4,460,768,138,815.63/970,804.13
  6. Step 6: Final answer
    x = 4,594,920.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.