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Finding the Third Proportional to 492,345 and 1,060,020

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Solution

The third proportional to 492,345 and 1,060,020 is: 2,282,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,345 : 1,060,020 = 1,060,020 : x
  2. Step 2: Convert to fraction form
    492,345/1,060,020 = 1,060,020/x
  3. Step 3: Cross multiply
    492,345x = 1,060,020 × 1,060,020
  4. Step 4: Simplify right side
    492,345x = 1,123,642,400,400
  5. Step 5: Solve for x
    x = 1,123,642,400,400/492,345
  6. Step 6: Final answer
    x = 2,282,225.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.