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Finding the Third Proportional to 1,707,135.75 and 3,572,088.61

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Solution

The third proportional to 1,707,135.75 and 3,572,088.61 is: 7,474,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707,135.75 : 3,572,088.61 = 3,572,088.61 : x
  2. Step 2: Convert to fraction form
    1,707,135.75/3,572,088.61 = 3,572,088.61/x
  3. Step 3: Cross multiply
    1,707,135.75x = 3,572,088.61 × 3,572,088.61
  4. Step 4: Simplify right side
    1,707,135.75x = 12,759,817,033,226.62
  5. Step 5: Solve for x
    x = 12,759,817,033,226.62/1,707,135.75
  6. Step 6: Final answer
    x = 7,474,400.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.