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Finding the Third Proportional to 1,685,409.19 and 3,714,387.19

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Solution

The third proportional to 1,685,409.19 and 3,714,387.19 is: 8,185,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,409.19 : 3,714,387.19 = 3,714,387.19 : x
  2. Step 2: Convert to fraction form
    1,685,409.19/3,714,387.19 = 3,714,387.19/x
  3. Step 3: Cross multiply
    1,685,409.19x = 3,714,387.19 × 3,714,387.19
  4. Step 4: Simplify right side
    1,685,409.19x = 13,796,672,178,664.16
  5. Step 5: Solve for x
    x = 13,796,672,178,664.16/1,685,409.19
  6. Step 6: Final answer
    x = 8,185,948.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.