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Finding the Third Proportional to 619,305.75 and 1,256,117.63

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Solution

The third proportional to 619,305.75 and 1,256,117.63 is: 2,547,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,305.75 : 1,256,117.63 = 1,256,117.63 : x
  2. Step 2: Convert to fraction form
    619,305.75/1,256,117.63 = 1,256,117.63/x
  3. Step 3: Cross multiply
    619,305.75x = 1,256,117.63 × 1,256,117.63
  4. Step 4: Simplify right side
    619,305.75x = 1,577,831,487,835.64
  5. Step 5: Solve for x
    x = 1,577,831,487,835.64/619,305.75
  6. Step 6: Final answer
    x = 2,547,742.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.