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Finding the Third Proportional to 1,170,690.47 and 2,373,677.16

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Solution

The third proportional to 1,170,690.47 and 2,373,677.16 is: 4,812,837.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,690.47 : 2,373,677.16 = 2,373,677.16 : x
  2. Step 2: Convert to fraction form
    1,170,690.47/2,373,677.16 = 2,373,677.16/x
  3. Step 3: Cross multiply
    1,170,690.47x = 2,373,677.16 × 2,373,677.16
  4. Step 4: Simplify right side
    1,170,690.47x = 5,634,343,242,103.09
  5. Step 5: Solve for x
    x = 5,634,343,242,103.09/1,170,690.47
  6. Step 6: Final answer
    x = 4,812,837.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.