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Finding the Third Proportional to 2,913,489 and 4,570,403.06

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Solution

The third proportional to 2,913,489 and 4,570,403.06 is: 7,169,611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,489 : 4,570,403.06 = 4,570,403.06 : x
  2. Step 2: Convert to fraction form
    2,913,489/4,570,403.06 = 4,570,403.06/x
  3. Step 3: Cross multiply
    2,913,489x = 4,570,403.06 × 4,570,403.06
  4. Step 4: Simplify right side
    2,913,489x = 20,888,584,153,709.38
  5. Step 5: Solve for x
    x = 20,888,584,153,709.38/2,913,489
  6. Step 6: Final answer
    x = 7,169,611.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.