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Finding the Third Proportional to 2,152,552 and 4,567,490

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Solution

The third proportional to 2,152,552 and 4,567,490 is: 9,691,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,552 : 4,567,490 = 4,567,490 : x
  2. Step 2: Convert to fraction form
    2,152,552/4,567,490 = 4,567,490/x
  3. Step 3: Cross multiply
    2,152,552x = 4,567,490 × 4,567,490
  4. Step 4: Simplify right side
    2,152,552x = 20,861,964,900,100
  5. Step 5: Solve for x
    x = 20,861,964,900,100/2,152,552
  6. Step 6: Final answer
    x = 9,691,735.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.