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Finding the Third Proportional to 1,578,117 and 3,451,470

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Solution

The third proportional to 1,578,117 and 3,451,470 is: 7,548,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,117 : 3,451,470 = 3,451,470 : x
  2. Step 2: Convert to fraction form
    1,578,117/3,451,470 = 3,451,470/x
  3. Step 3: Cross multiply
    1,578,117x = 3,451,470 × 3,451,470
  4. Step 4: Simplify right side
    1,578,117x = 11,912,645,160,900
  5. Step 5: Solve for x
    x = 11,912,645,160,900/1,578,117
  6. Step 6: Final answer
    x = 7,548,645.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.