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Finding the Third Proportional to 1,857,719.81 and 2,841,976.13

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Solution

The third proportional to 1,857,719.81 and 2,841,976.13 is: 4,347,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857,719.81 : 2,841,976.13 = 2,841,976.13 : x
  2. Step 2: Convert to fraction form
    1,857,719.81/2,841,976.13 = 2,841,976.13/x
  3. Step 3: Cross multiply
    1,857,719.81x = 2,841,976.13 × 2,841,976.13
  4. Step 4: Simplify right side
    1,857,719.81x = 8,076,828,295,070.02
  5. Step 5: Solve for x
    x = 8,076,828,295,070.02/1,857,719.81
  6. Step 6: Final answer
    x = 4,347,710.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.