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Finding the Third Proportional to 1,310,084.25 and 2,830,527.75

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Solution

The third proportional to 1,310,084.25 and 2,830,527.75 is: 6,115,551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,084.25 : 2,830,527.75 = 2,830,527.75 : x
  2. Step 2: Convert to fraction form
    1,310,084.25/2,830,527.75 = 2,830,527.75/x
  3. Step 3: Cross multiply
    1,310,084.25x = 2,830,527.75 × 2,830,527.75
  4. Step 4: Simplify right side
    1,310,084.25x = 8,011,887,343,520.06
  5. Step 5: Solve for x
    x = 8,011,887,343,520.06/1,310,084.25
  6. Step 6: Final answer
    x = 6,115,551.23

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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.