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Finding the Third Proportional to 1,733,084.19 and 3,740,192.50

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Solution

The third proportional to 1,733,084.19 and 3,740,192.50 is: 8,071,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,084.19 : 3,740,192.50 = 3,740,192.50 : x
  2. Step 2: Convert to fraction form
    1,733,084.19/3,740,192.50 = 3,740,192.50/x
  3. Step 3: Cross multiply
    1,733,084.19x = 3,740,192.50 × 3,740,192.50
  4. Step 4: Simplify right side
    1,733,084.19x = 13,989,039,937,056.25
  5. Step 5: Solve for x
    x = 13,989,039,937,056.25/1,733,084.19
  6. Step 6: Final answer
    x = 8,071,760.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.