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Finding the Third Proportional to 846,889 and 1,763,473

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Solution

The third proportional to 846,889 and 1,763,473 is: 3,672,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,889 : 1,763,473 = 1,763,473 : x
  2. Step 2: Convert to fraction form
    846,889/1,763,473 = 1,763,473/x
  3. Step 3: Cross multiply
    846,889x = 1,763,473 × 1,763,473
  4. Step 4: Simplify right side
    846,889x = 3,109,837,021,729
  5. Step 5: Solve for x
    x = 3,109,837,021,729/846,889
  6. Step 6: Final answer
    x = 3,672,071.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.