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Finding the Third Proportional to 3,658,490 and 5,434,699

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Solution

The third proportional to 3,658,490 and 5,434,699 is: 8,073,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658,490 : 5,434,699 = 5,434,699 : x
  2. Step 2: Convert to fraction form
    3,658,490/5,434,699 = 5,434,699/x
  3. Step 3: Cross multiply
    3,658,490x = 5,434,699 × 5,434,699
  4. Step 4: Simplify right side
    3,658,490x = 29,535,953,220,601
  5. Step 5: Solve for x
    x = 29,535,953,220,601/3,658,490
  6. Step 6: Final answer
    x = 8,073,263.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.