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Finding the Third Proportional to 1,680,461 and 2,582,989

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Solution

The third proportional to 1,680,461 and 2,582,989 is: 3,970,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,461 : 2,582,989 = 2,582,989 : x
  2. Step 2: Convert to fraction form
    1,680,461/2,582,989 = 2,582,989/x
  3. Step 3: Cross multiply
    1,680,461x = 2,582,989 × 2,582,989
  4. Step 4: Simplify right side
    1,680,461x = 6,671,832,174,121
  5. Step 5: Solve for x
    x = 6,671,832,174,121/1,680,461
  6. Step 6: Final answer
    x = 3,970,239.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.