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Finding the Third Proportional to 2,863,198 and 6,174,730

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Solution

The third proportional to 2,863,198 and 6,174,730 is: 13,316,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863,198 : 6,174,730 = 6,174,730 : x
  2. Step 2: Convert to fraction form
    2,863,198/6,174,730 = 6,174,730/x
  3. Step 3: Cross multiply
    2,863,198x = 6,174,730 × 6,174,730
  4. Step 4: Simplify right side
    2,863,198x = 38,127,290,572,900
  5. Step 5: Solve for x
    x = 38,127,290,572,900/2,863,198
  6. Step 6: Final answer
    x = 13,316,330.40

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Why These Related Problems?

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