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Finding the Third Proportional to 2,913,044 and 5,966,024

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Solution

The third proportional to 2,913,044 and 5,966,024 is: 12,218,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,044 : 5,966,024 = 5,966,024 : x
  2. Step 2: Convert to fraction form
    2,913,044/5,966,024 = 5,966,024/x
  3. Step 3: Cross multiply
    2,913,044x = 5,966,024 × 5,966,024
  4. Step 4: Simplify right side
    2,913,044x = 35,593,442,368,576
  5. Step 5: Solve for x
    x = 35,593,442,368,576/2,913,044
  6. Step 6: Final answer
    x = 12,218,642.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.