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Finding the Third Proportional to 1,442,565 and 3,078,207

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Solution

The third proportional to 1,442,565 and 3,078,207 is: 6,568,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,565 : 3,078,207 = 3,078,207 : x
  2. Step 2: Convert to fraction form
    1,442,565/3,078,207 = 3,078,207/x
  3. Step 3: Cross multiply
    1,442,565x = 3,078,207 × 3,078,207
  4. Step 4: Simplify right side
    1,442,565x = 9,475,358,334,849
  5. Step 5: Solve for x
    x = 9,475,358,334,849/1,442,565
  6. Step 6: Final answer
    x = 6,568,409.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.