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Finding the Third Proportional to 662,574 and 1,006,176

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Solution

The third proportional to 662,574 and 1,006,176 is: 1,527,965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,574 : 1,006,176 = 1,006,176 : x
  2. Step 2: Convert to fraction form
    662,574/1,006,176 = 1,006,176/x
  3. Step 3: Cross multiply
    662,574x = 1,006,176 × 1,006,176
  4. Step 4: Simplify right side
    662,574x = 1,012,390,142,976
  5. Step 5: Solve for x
    x = 1,012,390,142,976/662,574
  6. Step 6: Final answer
    x = 1,527,965.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.