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Finding the Third Proportional to 1,378,098 and 2,012,715

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Solution

The third proportional to 1,378,098 and 2,012,715 is: 2,939,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,098 : 2,012,715 = 2,012,715 : x
  2. Step 2: Convert to fraction form
    1,378,098/2,012,715 = 2,012,715/x
  3. Step 3: Cross multiply
    1,378,098x = 2,012,715 × 2,012,715
  4. Step 4: Simplify right side
    1,378,098x = 4,051,021,671,225
  5. Step 5: Solve for x
    x = 4,051,021,671,225/1,378,098
  6. Step 6: Final answer
    x = 2,939,574.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.