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Finding the Third Proportional to 4,289,575 and 6,534,850

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Solution

The third proportional to 4,289,575 and 6,534,850 is: 9,955,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289,575 : 6,534,850 = 6,534,850 : x
  2. Step 2: Convert to fraction form
    4,289,575/6,534,850 = 6,534,850/x
  3. Step 3: Cross multiply
    4,289,575x = 6,534,850 × 6,534,850
  4. Step 4: Simplify right side
    4,289,575x = 42,704,264,522,500
  5. Step 5: Solve for x
    x = 42,704,264,522,500/4,289,575
  6. Step 6: Final answer
    x = 9,955,360.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.