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Finding the Third Proportional to 926,473 and 1,384,254

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Solution

The third proportional to 926,473 and 1,384,254 is: 2,068,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,473 : 1,384,254 = 1,384,254 : x
  2. Step 2: Convert to fraction form
    926,473/1,384,254 = 1,384,254/x
  3. Step 3: Cross multiply
    926,473x = 1,384,254 × 1,384,254
  4. Step 4: Simplify right side
    926,473x = 1,916,159,136,516
  5. Step 5: Solve for x
    x = 1,916,159,136,516/926,473
  6. Step 6: Final answer
    x = 2,068,229.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.