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Finding the Third Proportional to 2,059,580 and 4,307,376

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Solution

The third proportional to 2,059,580 and 4,307,376 is: 9,008,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059,580 : 4,307,376 = 4,307,376 : x
  2. Step 2: Convert to fraction form
    2,059,580/4,307,376 = 4,307,376/x
  3. Step 3: Cross multiply
    2,059,580x = 4,307,376 × 4,307,376
  4. Step 4: Simplify right side
    2,059,580x = 18,553,488,005,376
  5. Step 5: Solve for x
    x = 18,553,488,005,376/2,059,580
  6. Step 6: Final answer
    x = 9,008,384.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.