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Finding the Third Proportional to 999,463 and 2,197,943

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Solution

The third proportional to 999,463 and 2,197,943 is: 4,833,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,463 : 2,197,943 = 2,197,943 : x
  2. Step 2: Convert to fraction form
    999,463/2,197,943 = 2,197,943/x
  3. Step 3: Cross multiply
    999,463x = 2,197,943 × 2,197,943
  4. Step 4: Simplify right side
    999,463x = 4,830,953,431,249
  5. Step 5: Solve for x
    x = 4,830,953,431,249/999,463
  6. Step 6: Final answer
    x = 4,833,549.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.