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Finding the Third Proportional to 1,680,092.34 and 3,686,776.64

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Solution

The third proportional to 1,680,092.34 and 3,686,776.64 is: 8,090,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,092.34 : 3,686,776.64 = 3,686,776.64 : x
  2. Step 2: Convert to fraction form
    1,680,092.34/3,686,776.64 = 3,686,776.64/x
  3. Step 3: Cross multiply
    1,680,092.34x = 3,686,776.64 × 3,686,776.64
  4. Step 4: Simplify right side
    1,680,092.34x = 13,592,321,997,858.16
  5. Step 5: Solve for x
    x = 13,592,321,997,858.16/1,680,092.34
  6. Step 6: Final answer
    x = 8,090,223.16

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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.