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Finding the Third Proportional to 1,921,463 and 4,158,490

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Solution

The third proportional to 1,921,463 and 4,158,490 is: 8,999,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921,463 : 4,158,490 = 4,158,490 : x
  2. Step 2: Convert to fraction form
    1,921,463/4,158,490 = 4,158,490/x
  3. Step 3: Cross multiply
    1,921,463x = 4,158,490 × 4,158,490
  4. Step 4: Simplify right side
    1,921,463x = 17,293,039,080,100
  5. Step 5: Solve for x
    x = 17,293,039,080,100/1,921,463
  6. Step 6: Final answer
    x = 8,999,933.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.