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Finding the Third Proportional to 762,465 and 1,588,134

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Solution

The third proportional to 762,465 and 1,588,134 is: 3,307,915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,465 : 1,588,134 = 1,588,134 : x
  2. Step 2: Convert to fraction form
    762,465/1,588,134 = 1,588,134/x
  3. Step 3: Cross multiply
    762,465x = 1,588,134 × 1,588,134
  4. Step 4: Simplify right side
    762,465x = 2,522,169,601,956
  5. Step 5: Solve for x
    x = 2,522,169,601,956/762,465
  6. Step 6: Final answer
    x = 3,307,915.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.