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Finding the Third Proportional to 2,713,018 and 5,897,942

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Solution

The third proportional to 2,713,018 and 5,897,942 is: 12,821,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713,018 : 5,897,942 = 5,897,942 : x
  2. Step 2: Convert to fraction form
    2,713,018/5,897,942 = 5,897,942/x
  3. Step 3: Cross multiply
    2,713,018x = 5,897,942 × 5,897,942
  4. Step 4: Simplify right side
    2,713,018x = 34,785,719,835,364
  5. Step 5: Solve for x
    x = 34,785,719,835,364/2,713,018
  6. Step 6: Final answer
    x = 12,821,779.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.