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Finding the Third Proportional to 1,456,492 and 2,970,805

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Solution

The third proportional to 1,456,492 and 2,970,805 is: 6,059,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,492 : 2,970,805 = 2,970,805 : x
  2. Step 2: Convert to fraction form
    1,456,492/2,970,805 = 2,970,805/x
  3. Step 3: Cross multiply
    1,456,492x = 2,970,805 × 2,970,805
  4. Step 4: Simplify right side
    1,456,492x = 8,825,682,348,025
  5. Step 5: Solve for x
    x = 8,825,682,348,025/1,456,492
  6. Step 6: Final answer
    x = 6,059,547.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.