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Finding the Third Proportional to 732,405.75 and 1,604,451.75

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Solution

The third proportional to 732,405.75 and 1,604,451.75 is: 3,514,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,405.75 : 1,604,451.75 = 1,604,451.75 : x
  2. Step 2: Convert to fraction form
    732,405.75/1,604,451.75 = 1,604,451.75/x
  3. Step 3: Cross multiply
    732,405.75x = 1,604,451.75 × 1,604,451.75
  4. Step 4: Simplify right side
    732,405.75x = 2,574,265,418,078.06
  5. Step 5: Solve for x
    x = 2,574,265,418,078.06/732,405.75
  6. Step 6: Final answer
    x = 3,514,807.77

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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.