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Finding the Third Proportional to 972,602 and 2,113,397

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Solution

The third proportional to 972,602 and 2,113,397 is: 4,592,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,602 : 2,113,397 = 2,113,397 : x
  2. Step 2: Convert to fraction form
    972,602/2,113,397 = 2,113,397/x
  3. Step 3: Cross multiply
    972,602x = 2,113,397 × 2,113,397
  4. Step 4: Simplify right side
    972,602x = 4,466,446,879,609
  5. Step 5: Solve for x
    x = 4,466,446,879,609/972,602
  6. Step 6: Final answer
    x = 4,592,265.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.