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Finding the Third Proportional to 661,024.13 and 1,446,594.19

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Solution

The third proportional to 661,024.13 and 1,446,594.19 is: 3,165,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,024.13 : 1,446,594.19 = 1,446,594.19 : x
  2. Step 2: Convert to fraction form
    661,024.13/1,446,594.19 = 1,446,594.19/x
  3. Step 3: Cross multiply
    661,024.13x = 1,446,594.19 × 1,446,594.19
  4. Step 4: Simplify right side
    661,024.13x = 2,092,634,743,308.79
  5. Step 5: Solve for x
    x = 2,092,634,743,308.79/661,024.13
  6. Step 6: Final answer
    x = 3,165,746.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.