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Finding the Third Proportional to 762,050 and 1,704,528

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Solution

The third proportional to 762,050 and 1,704,528 is: 3,812,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,050 : 1,704,528 = 1,704,528 : x
  2. Step 2: Convert to fraction form
    762,050/1,704,528 = 1,704,528/x
  3. Step 3: Cross multiply
    762,050x = 1,704,528 × 1,704,528
  4. Step 4: Simplify right side
    762,050x = 2,905,415,702,784
  5. Step 5: Solve for x
    x = 2,905,415,702,784/762,050
  6. Step 6: Final answer
    x = 3,812,631.33

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.