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Finding the Third Proportional to 846,844 and 1,316,922

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Solution

The third proportional to 846,844 and 1,316,922 is: 2,047,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,844 : 1,316,922 = 1,316,922 : x
  2. Step 2: Convert to fraction form
    846,844/1,316,922 = 1,316,922/x
  3. Step 3: Cross multiply
    846,844x = 1,316,922 × 1,316,922
  4. Step 4: Simplify right side
    846,844x = 1,734,283,554,084
  5. Step 5: Solve for x
    x = 1,734,283,554,084/846,844
  6. Step 6: Final answer
    x = 2,047,937.46

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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.