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Finding the Third Proportional to 2,807,700 and 4,312,971

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Solution

The third proportional to 2,807,700 and 4,312,971 is: 6,625,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807,700 : 4,312,971 = 4,312,971 : x
  2. Step 2: Convert to fraction form
    2,807,700/4,312,971 = 4,312,971/x
  3. Step 3: Cross multiply
    2,807,700x = 4,312,971 × 4,312,971
  4. Step 4: Simplify right side
    2,807,700x = 18,601,718,846,841
  5. Step 5: Solve for x
    x = 18,601,718,846,841/2,807,700
  6. Step 6: Final answer
    x = 6,625,251.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.