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Finding the Third Proportional to 3,098,790 and 6,712,146

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Solution

The third proportional to 3,098,790 and 6,712,146 is: 14,538,869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098,790 : 6,712,146 = 6,712,146 : x
  2. Step 2: Convert to fraction form
    3,098,790/6,712,146 = 6,712,146/x
  3. Step 3: Cross multiply
    3,098,790x = 6,712,146 × 6,712,146
  4. Step 4: Simplify right side
    3,098,790x = 45,052,903,925,316
  5. Step 5: Solve for x
    x = 45,052,903,925,316/3,098,790
  6. Step 6: Final answer
    x = 14,538,869.66

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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.