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Finding the Third Proportional to 471,040 and 1,020,368

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Solution

The third proportional to 471,040 and 1,020,368 is: 2,210,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,040 : 1,020,368 = 1,020,368 : x
  2. Step 2: Convert to fraction form
    471,040/1,020,368 = 1,020,368/x
  3. Step 3: Cross multiply
    471,040x = 1,020,368 × 1,020,368
  4. Step 4: Simplify right side
    471,040x = 1,041,150,855,424
  5. Step 5: Solve for x
    x = 1,041,150,855,424/471,040
  6. Step 6: Final answer
    x = 2,210,323.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.