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Finding the Third Proportional to 3,539,403 and 5,465,569.50

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Solution

The third proportional to 3,539,403 and 5,465,569.50 is: 8,439,968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539,403 : 5,465,569.50 = 5,465,569.50 : x
  2. Step 2: Convert to fraction form
    3,539,403/5,465,569.50 = 5,465,569.50/x
  3. Step 3: Cross multiply
    3,539,403x = 5,465,569.50 × 5,465,569.50
  4. Step 4: Simplify right side
    3,539,403x = 29,872,449,959,330.25
  5. Step 5: Solve for x
    x = 29,872,449,959,330.25/3,539,403
  6. Step 6: Final answer
    x = 8,439,968.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.