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Finding the Third Proportional to 3,430,854 and 5,046,489

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Solution

The third proportional to 3,430,854 and 5,046,489 is: 7,422,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430,854 : 5,046,489 = 5,046,489 : x
  2. Step 2: Convert to fraction form
    3,430,854/5,046,489 = 5,046,489/x
  3. Step 3: Cross multiply
    3,430,854x = 5,046,489 × 5,046,489
  4. Step 4: Simplify right side
    3,430,854x = 25,467,051,227,121
  5. Step 5: Solve for x
    x = 25,467,051,227,121/3,430,854
  6. Step 6: Final answer
    x = 7,422,948.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.