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Finding the Third Proportional to 463,648 and 1,015,964

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Solution

The third proportional to 463,648 and 1,015,964 is: 2,226,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,648 : 1,015,964 = 1,015,964 : x
  2. Step 2: Convert to fraction form
    463,648/1,015,964 = 1,015,964/x
  3. Step 3: Cross multiply
    463,648x = 1,015,964 × 1,015,964
  4. Step 4: Simplify right side
    463,648x = 1,032,182,849,296
  5. Step 5: Solve for x
    x = 1,032,182,849,296/463,648
  6. Step 6: Final answer
    x = 2,226,220.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.