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Finding the Third Proportional to 846,867 and 1,316,956.50

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Solution

The third proportional to 846,867 and 1,316,956.50 is: 2,047,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,867 : 1,316,956.50 = 1,316,956.50 : x
  2. Step 2: Convert to fraction form
    846,867/1,316,956.50 = 1,316,956.50/x
  3. Step 3: Cross multiply
    846,867x = 1,316,956.50 × 1,316,956.50
  4. Step 4: Simplify right side
    846,867x = 1,734,374,422,892.25
  5. Step 5: Solve for x
    x = 1,734,374,422,892.25/846,867
  6. Step 6: Final answer
    x = 2,047,989.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.