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Finding the Third Proportional to 4,119,749 and 6,032,143

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Solution

The third proportional to 4,119,749 and 6,032,143 is: 8,832,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119,749 : 6,032,143 = 6,032,143 : x
  2. Step 2: Convert to fraction form
    4,119,749/6,032,143 = 6,032,143/x
  3. Step 3: Cross multiply
    4,119,749x = 6,032,143 × 6,032,143
  4. Step 4: Simplify right side
    4,119,749x = 36,386,749,172,449
  5. Step 5: Solve for x
    x = 36,386,749,172,449/4,119,749
  6. Step 6: Final answer
    x = 8,832,273.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.