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Finding the Third Proportional to 1,685,404.93 and 3,714,378.16

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Solution

The third proportional to 1,685,404.93 and 3,714,378.16 is: 8,185,929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,404.93 : 3,714,378.16 = 3,714,378.16 : x
  2. Step 2: Convert to fraction form
    1,685,404.93/3,714,378.16 = 3,714,378.16/x
  3. Step 3: Cross multiply
    1,685,404.93x = 3,714,378.16 × 3,714,378.16
  4. Step 4: Simplify right side
    1,685,404.93x = 13,796,605,123,901.02
  5. Step 5: Solve for x
    x = 13,796,605,123,901.02/1,685,404.93
  6. Step 6: Final answer
    x = 8,185,929.02

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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.