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Finding the Third Proportional to 1,748,506.68 and 3,762,733.86

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Solution

The third proportional to 1,748,506.68 and 3,762,733.86 is: 8,097,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,506.68 : 3,762,733.86 = 3,762,733.86 : x
  2. Step 2: Convert to fraction form
    1,748,506.68/3,762,733.86 = 3,762,733.86/x
  3. Step 3: Cross multiply
    1,748,506.68x = 3,762,733.86 × 3,762,733.86
  4. Step 4: Simplify right side
    1,748,506.68x = 14,158,166,070,765.03
  5. Step 5: Solve for x
    x = 14,158,166,070,765.03/1,748,506.68
  6. Step 6: Final answer
    x = 8,097,290.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.