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Finding the Third Proportional to 762,054 and 1,655,436

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Solution

The third proportional to 762,054 and 1,655,436 is: 3,596,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,054 : 1,655,436 = 1,655,436 : x
  2. Step 2: Convert to fraction form
    762,054/1,655,436 = 1,655,436/x
  3. Step 3: Cross multiply
    762,054x = 1,655,436 × 1,655,436
  4. Step 4: Simplify right side
    762,054x = 2,740,468,350,096
  5. Step 5: Solve for x
    x = 2,740,468,350,096/762,054
  6. Step 6: Final answer
    x = 3,596,160.31

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