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Finding the Third Proportional to 646,779.38 and 1,360,581.75

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Solution

The third proportional to 646,779.38 and 1,360,581.75 is: 2,862,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,779.38 : 1,360,581.75 = 1,360,581.75 : x
  2. Step 2: Convert to fraction form
    646,779.38/1,360,581.75 = 1,360,581.75/x
  3. Step 3: Cross multiply
    646,779.38x = 1,360,581.75 × 1,360,581.75
  4. Step 4: Simplify right side
    646,779.38x = 1,851,182,698,433.06
  5. Step 5: Solve for x
    x = 1,851,182,698,433.06/646,779.38
  6. Step 6: Final answer
    x = 2,862,154.81

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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.