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Finding the Third Proportional to 972,234 and 1,400,537

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Solution

The third proportional to 972,234 and 1,400,537 is: 2,017,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,234 : 1,400,537 = 1,400,537 : x
  2. Step 2: Convert to fraction form
    972,234/1,400,537 = 1,400,537/x
  3. Step 3: Cross multiply
    972,234x = 1,400,537 × 1,400,537
  4. Step 4: Simplify right side
    972,234x = 1,961,503,888,369
  5. Step 5: Solve for x
    x = 1,961,503,888,369/972,234
  6. Step 6: Final answer
    x = 2,017,522.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.