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Finding the Third Proportional to 2,947,335 and 4,402,750

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Solution

The third proportional to 2,947,335 and 4,402,750 is: 6,576,859.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,335 : 4,402,750 = 4,402,750 : x
  2. Step 2: Convert to fraction form
    2,947,335/4,402,750 = 4,402,750/x
  3. Step 3: Cross multiply
    2,947,335x = 4,402,750 × 4,402,750
  4. Step 4: Simplify right side
    2,947,335x = 19,384,207,562,500
  5. Step 5: Solve for x
    x = 19,384,207,562,500/2,947,335
  6. Step 6: Final answer
    x = 6,576,859.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.