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Finding the Third Proportional to 846,080 and 1,775,168

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Solution

The third proportional to 846,080 and 1,775,168 is: 3,724,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,080 : 1,775,168 = 1,775,168 : x
  2. Step 2: Convert to fraction form
    846,080/1,775,168 = 1,775,168/x
  3. Step 3: Cross multiply
    846,080x = 1,775,168 × 1,775,168
  4. Step 4: Simplify right side
    846,080x = 3,151,221,428,224
  5. Step 5: Solve for x
    x = 3,151,221,428,224/846,080
  6. Step 6: Final answer
    x = 3,724,495.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.