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Finding the Third Proportional to 1,784,126.25 and 2,872,715.63

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Solution

The third proportional to 1,784,126.25 and 2,872,715.63 is: 4,625,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,126.25 : 2,872,715.63 = 2,872,715.63 : x
  2. Step 2: Convert to fraction form
    1,784,126.25/2,872,715.63 = 2,872,715.63/x
  3. Step 3: Cross multiply
    1,784,126.25x = 2,872,715.63 × 2,872,715.63
  4. Step 4: Simplify right side
    1,784,126.25x = 8,252,495,062,119.14
  5. Step 5: Solve for x
    x = 8,252,495,062,119.14/1,784,126.25
  6. Step 6: Final answer
    x = 4,625,510.70

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.