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Finding the Third Proportional to 1,527,746 and 3,360,565

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Solution

The third proportional to 1,527,746 and 3,360,565 is: 7,392,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,746 : 3,360,565 = 3,360,565 : x
  2. Step 2: Convert to fraction form
    1,527,746/3,360,565 = 3,360,565/x
  3. Step 3: Cross multiply
    1,527,746x = 3,360,565 × 3,360,565
  4. Step 4: Simplify right side
    1,527,746x = 11,293,397,119,225
  5. Step 5: Solve for x
    x = 11,293,397,119,225/1,527,746
  6. Step 6: Final answer
    x = 7,392,195.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.