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Finding the Third Proportional to 1,440,423 and 3,152,034

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Solution

The third proportional to 1,440,423 and 3,152,034 is: 6,897,500.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440,423 : 3,152,034 = 3,152,034 : x
  2. Step 2: Convert to fraction form
    1,440,423/3,152,034 = 3,152,034/x
  3. Step 3: Cross multiply
    1,440,423x = 3,152,034 × 3,152,034
  4. Step 4: Simplify right side
    1,440,423x = 9,935,318,337,156
  5. Step 5: Solve for x
    x = 9,935,318,337,156/1,440,423
  6. Step 6: Final answer
    x = 6,897,500.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.