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Finding the Third Proportional to 2,880,560 and 6,204,352

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Solution

The third proportional to 2,880,560 and 6,204,352 is: 13,363,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880,560 : 6,204,352 = 6,204,352 : x
  2. Step 2: Convert to fraction form
    2,880,560/6,204,352 = 6,204,352/x
  3. Step 3: Cross multiply
    2,880,560x = 6,204,352 × 6,204,352
  4. Step 4: Simplify right side
    2,880,560x = 38,493,983,739,904
  5. Step 5: Solve for x
    x = 38,493,983,739,904/2,880,560
  6. Step 6: Final answer
    x = 13,363,368.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.