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Finding the Third Proportional to 747,817 and 1,630,971

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Solution

The third proportional to 747,817 and 1,630,971 is: 3,557,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,817 : 1,630,971 = 1,630,971 : x
  2. Step 2: Convert to fraction form
    747,817/1,630,971 = 1,630,971/x
  3. Step 3: Cross multiply
    747,817x = 1,630,971 × 1,630,971
  4. Step 4: Simplify right side
    747,817x = 2,660,066,402,841
  5. Step 5: Solve for x
    x = 2,660,066,402,841/747,817
  6. Step 6: Final answer
    x = 3,557,108.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.