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Finding the Third Proportional to 471,044 and 1,020,376

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Solution

The third proportional to 471,044 and 1,020,376 is: 2,210,339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,044 : 1,020,376 = 1,020,376 : x
  2. Step 2: Convert to fraction form
    471,044/1,020,376 = 1,020,376/x
  3. Step 3: Cross multiply
    471,044x = 1,020,376 × 1,020,376
  4. Step 4: Simplify right side
    471,044x = 1,041,167,181,376
  5. Step 5: Solve for x
    x = 1,041,167,181,376/471,044
  6. Step 6: Final answer
    x = 2,210,339.55

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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.