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Finding the Third Proportional to 676,064.92 and 1,458,810.16

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Solution

The third proportional to 676,064.92 and 1,458,810.16 is: 3,147,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,064.92 : 1,458,810.16 = 1,458,810.16 : x
  2. Step 2: Convert to fraction form
    676,064.92/1,458,810.16 = 1,458,810.16/x
  3. Step 3: Cross multiply
    676,064.92x = 1,458,810.16 × 1,458,810.16
  4. Step 4: Simplify right side
    676,064.92x = 2,128,127,077,676.55
  5. Step 5: Solve for x
    x = 2,128,127,077,676.55/676,064.92
  6. Step 6: Final answer
    x = 3,147,814.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.