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Finding the Third Proportional to 728,454.50 and 1,584,504

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Solution

The third proportional to 728,454.50 and 1,584,504 is: 3,446,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,454.50 : 1,584,504 = 1,584,504 : x
  2. Step 2: Convert to fraction form
    728,454.50/1,584,504 = 1,584,504/x
  3. Step 3: Cross multiply
    728,454.50x = 1,584,504 × 1,584,504
  4. Step 4: Simplify right side
    728,454.50x = 2,510,652,926,016
  5. Step 5: Solve for x
    x = 2,510,652,926,016/728,454.50
  6. Step 6: Final answer
    x = 3,446,547.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.