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Finding the Third Proportional to 762,056 and 1,655,440

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Solution

The third proportional to 762,056 and 1,655,440 is: 3,596,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,056 : 1,655,440 = 1,655,440 : x
  2. Step 2: Convert to fraction form
    762,056/1,655,440 = 1,655,440/x
  3. Step 3: Cross multiply
    762,056x = 1,655,440 × 1,655,440
  4. Step 4: Simplify right side
    762,056x = 2,740,481,593,600
  5. Step 5: Solve for x
    x = 2,740,481,593,600/762,056
  6. Step 6: Final answer
    x = 3,596,168.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.