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Finding the Third Proportional to 720,192 and 1,552,037

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Solution

The third proportional to 720,192 and 1,552,037 is: 3,344,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,192 : 1,552,037 = 1,552,037 : x
  2. Step 2: Convert to fraction form
    720,192/1,552,037 = 1,552,037/x
  3. Step 3: Cross multiply
    720,192x = 1,552,037 × 1,552,037
  4. Step 4: Simplify right side
    720,192x = 2,408,818,849,369
  5. Step 5: Solve for x
    x = 2,408,818,849,369/720,192
  6. Step 6: Final answer
    x = 3,344,689.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.