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Finding the Third Proportional to 1,724,514 and 3,627,624

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Solution

The third proportional to 1,724,514 and 3,627,624 is: 7,630,935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,514 : 3,627,624 = 3,627,624 : x
  2. Step 2: Convert to fraction form
    1,724,514/3,627,624 = 3,627,624/x
  3. Step 3: Cross multiply
    1,724,514x = 3,627,624 × 3,627,624
  4. Step 4: Simplify right side
    1,724,514x = 13,159,655,885,376
  5. Step 5: Solve for x
    x = 13,159,655,885,376/1,724,514
  6. Step 6: Final answer
    x = 7,630,935.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.