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Finding the Third Proportional to 1,849,709 and 2,905,689

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Solution

The third proportional to 1,849,709 and 2,905,689 is: 4,564,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,709 : 2,905,689 = 2,905,689 : x
  2. Step 2: Convert to fraction form
    1,849,709/2,905,689 = 2,905,689/x
  3. Step 3: Cross multiply
    1,849,709x = 2,905,689 × 2,905,689
  4. Step 4: Simplify right side
    1,849,709x = 8,443,028,564,721
  5. Step 5: Solve for x
    x = 8,443,028,564,721/1,849,709
  6. Step 6: Final answer
    x = 4,564,517.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.