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Finding the Third Proportional to 1,822,410 and 2,896,371

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Solution

The third proportional to 1,822,410 and 2,896,371 is: 4,603,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822,410 : 2,896,371 = 2,896,371 : x
  2. Step 2: Convert to fraction form
    1,822,410/2,896,371 = 2,896,371/x
  3. Step 3: Cross multiply
    1,822,410x = 2,896,371 × 2,896,371
  4. Step 4: Simplify right side
    1,822,410x = 8,388,964,969,641
  5. Step 5: Solve for x
    x = 8,388,964,969,641/1,822,410
  6. Step 6: Final answer
    x = 4,603,225.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.