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Finding the Third Proportional to 2,141,490 and 3,153,024

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Solution

The third proportional to 2,141,490 and 3,153,024 is: 4,642,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,490 : 3,153,024 = 3,153,024 : x
  2. Step 2: Convert to fraction form
    2,141,490/3,153,024 = 3,153,024/x
  3. Step 3: Cross multiply
    2,141,490x = 3,153,024 × 3,153,024
  4. Step 4: Simplify right side
    2,141,490x = 9,941,560,344,576
  5. Step 5: Solve for x
    x = 9,941,560,344,576/2,141,490
  6. Step 6: Final answer
    x = 4,642,356.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.