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Finding the Third Proportional to 1,880,340 and 2,864,598

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Solution

The third proportional to 1,880,340 and 2,864,598 is: 4,364,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880,340 : 2,864,598 = 2,864,598 : x
  2. Step 2: Convert to fraction form
    1,880,340/2,864,598 = 2,864,598/x
  3. Step 3: Cross multiply
    1,880,340x = 2,864,598 × 2,864,598
  4. Step 4: Simplify right side
    1,880,340x = 8,205,921,701,604
  5. Step 5: Solve for x
    x = 8,205,921,701,604/1,880,340
  6. Step 6: Final answer
    x = 4,364,062.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.