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Finding the Third Proportional to 1,030,407.75 and 2,202,621

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Solution

The third proportional to 1,030,407.75 and 2,202,621 is: 4,708,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,407.75 : 2,202,621 = 2,202,621 : x
  2. Step 2: Convert to fraction form
    1,030,407.75/2,202,621 = 2,202,621/x
  3. Step 3: Cross multiply
    1,030,407.75x = 2,202,621 × 2,202,621
  4. Step 4: Simplify right side
    1,030,407.75x = 4,851,539,269,641
  5. Step 5: Solve for x
    x = 4,851,539,269,641/1,030,407.75
  6. Step 6: Final answer
    x = 4,708,368.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.