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Finding the Third Proportional to 2,829,972 and 4,000,560

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Solution

The third proportional to 2,829,972 and 4,000,560 is: 5,655,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,972 : 4,000,560 = 4,000,560 : x
  2. Step 2: Convert to fraction form
    2,829,972/4,000,560 = 4,000,560/x
  3. Step 3: Cross multiply
    2,829,972x = 4,000,560 × 4,000,560
  4. Step 4: Simplify right side
    2,829,972x = 16,004,480,313,600
  5. Step 5: Solve for x
    x = 16,004,480,313,600/2,829,972
  6. Step 6: Final answer
    x = 5,655,349.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.