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Finding the Third Proportional to 480,006 and 1,050,408

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Solution

The third proportional to 480,006 and 1,050,408 is: 2,298,631.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,006 : 1,050,408 = 1,050,408 : x
  2. Step 2: Convert to fraction form
    480,006/1,050,408 = 1,050,408/x
  3. Step 3: Cross multiply
    480,006x = 1,050,408 × 1,050,408
  4. Step 4: Simplify right side
    480,006x = 1,103,356,966,464
  5. Step 5: Solve for x
    x = 1,103,356,966,464/480,006
  6. Step 6: Final answer
    x = 2,298,631.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.