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Finding the Third Proportional to 452,858.63 and 959,709

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Solution

The third proportional to 452,858.63 and 959,709 is: 2,033,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,858.63 : 959,709 = 959,709 : x
  2. Step 2: Convert to fraction form
    452,858.63/959,709 = 959,709/x
  3. Step 3: Cross multiply
    452,858.63x = 959,709 × 959,709
  4. Step 4: Simplify right side
    452,858.63x = 921,041,364,681
  5. Step 5: Solve for x
    x = 921,041,364,681/452,858.63
  6. Step 6: Final answer
    x = 2,033,838.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.