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Finding the Third Proportional to 1,784,881.50 and 2,719,159.50

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Solution

The third proportional to 1,784,881.50 and 2,719,159.50 is: 4,142,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,881.50 : 2,719,159.50 = 2,719,159.50 : x
  2. Step 2: Convert to fraction form
    1,784,881.50/2,719,159.50 = 2,719,159.50/x
  3. Step 3: Cross multiply
    1,784,881.50x = 2,719,159.50 × 2,719,159.50
  4. Step 4: Simplify right side
    1,784,881.50x = 7,393,828,386,440.25
  5. Step 5: Solve for x
    x = 7,393,828,386,440.25/1,784,881.50
  6. Step 6: Final answer
    x = 4,142,475.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.