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Finding the Third Proportional to 972,070 and 2,121,015

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Solution

The third proportional to 972,070 and 2,121,015 is: 4,627,963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,070 : 2,121,015 = 2,121,015 : x
  2. Step 2: Convert to fraction form
    972,070/2,121,015 = 2,121,015/x
  3. Step 3: Cross multiply
    972,070x = 2,121,015 × 2,121,015
  4. Step 4: Simplify right side
    972,070x = 4,498,704,630,225
  5. Step 5: Solve for x
    x = 4,498,704,630,225/972,070
  6. Step 6: Final answer
    x = 4,627,963.66

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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.