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Finding the Third Proportional to 921,570 and 2,020,287

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Solution

The third proportional to 921,570 and 2,020,287 is: 4,428,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,570 : 2,020,287 = 2,020,287 : x
  2. Step 2: Convert to fraction form
    921,570/2,020,287 = 2,020,287/x
  3. Step 3: Cross multiply
    921,570x = 2,020,287 × 2,020,287
  4. Step 4: Simplify right side
    921,570x = 4,081,559,562,369
  5. Step 5: Solve for x
    x = 4,081,559,562,369/921,570
  6. Step 6: Final answer
    x = 4,428,919.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.