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Finding the Third Proportional to 2,971,226 and 6,510,347

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Solution

The third proportional to 2,971,226 and 6,510,347 is: 14,265,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971,226 : 6,510,347 = 6,510,347 : x
  2. Step 2: Convert to fraction form
    2,971,226/6,510,347 = 6,510,347/x
  3. Step 3: Cross multiply
    2,971,226x = 6,510,347 × 6,510,347
  4. Step 4: Simplify right side
    2,971,226x = 42,384,618,060,409
  5. Step 5: Solve for x
    x = 42,384,618,060,409/2,971,226
  6. Step 6: Final answer
    x = 14,265,026.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.