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Finding the Third Proportional to 1,846,312 and 2,709,561

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Solution

The third proportional to 1,846,312 and 2,709,561 is: 3,976,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846,312 : 2,709,561 = 2,709,561 : x
  2. Step 2: Convert to fraction form
    1,846,312/2,709,561 = 2,709,561/x
  3. Step 3: Cross multiply
    1,846,312x = 2,709,561 × 2,709,561
  4. Step 4: Simplify right side
    1,846,312x = 7,341,720,812,721
  5. Step 5: Solve for x
    x = 7,341,720,812,721/1,846,312
  6. Step 6: Final answer
    x = 3,976,424.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.