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Finding the Third Proportional to 846,858 and 1,816,511

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Solution

The third proportional to 846,858 and 1,816,511 is: 3,896,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,858 : 1,816,511 = 1,816,511 : x
  2. Step 2: Convert to fraction form
    846,858/1,816,511 = 1,816,511/x
  3. Step 3: Cross multiply
    846,858x = 1,816,511 × 1,816,511
  4. Step 4: Simplify right side
    846,858x = 3,299,712,213,121
  5. Step 5: Solve for x
    x = 3,299,712,213,121/846,858
  6. Step 6: Final answer
    x = 3,896,417.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.