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Finding the Third Proportional to 1,746,805.50 and 3,817,454.06

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Solution

The third proportional to 1,746,805.50 and 3,817,454.06 is: 8,342,632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,805.50 : 3,817,454.06 = 3,817,454.06 : x
  2. Step 2: Convert to fraction form
    1,746,805.50/3,817,454.06 = 3,817,454.06/x
  3. Step 3: Cross multiply
    1,746,805.50x = 3,817,454.06 × 3,817,454.06
  4. Step 4: Simplify right side
    1,746,805.50x = 14,572,955,519,297.75
  5. Step 5: Solve for x
    x = 14,572,955,519,297.75/1,746,805.50
  6. Step 6: Final answer
    x = 8,342,632.03

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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.