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Finding the Third Proportional to 1,280,466 and 2,718,630

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Solution

The third proportional to 1,280,466 and 2,718,630 is: 5,772,077.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,466 : 2,718,630 = 2,718,630 : x
  2. Step 2: Convert to fraction form
    1,280,466/2,718,630 = 2,718,630/x
  3. Step 3: Cross multiply
    1,280,466x = 2,718,630 × 2,718,630
  4. Step 4: Simplify right side
    1,280,466x = 7,390,949,076,900
  5. Step 5: Solve for x
    x = 7,390,949,076,900/1,280,466
  6. Step 6: Final answer
    x = 5,772,077.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.