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Finding the Third Proportional to 1,005,468 and 2,185,464

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Solution

The third proportional to 1,005,468 and 2,185,464 is: 4,750,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,468 : 2,185,464 = 2,185,464 : x
  2. Step 2: Convert to fraction form
    1,005,468/2,185,464 = 2,185,464/x
  3. Step 3: Cross multiply
    1,005,468x = 2,185,464 × 2,185,464
  4. Step 4: Simplify right side
    1,005,468x = 4,776,252,895,296
  5. Step 5: Solve for x
    x = 4,776,252,895,296/1,005,468
  6. Step 6: Final answer
    x = 4,750,278.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.