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Finding the Third Proportional to 4,205,464 and 6,588,510

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Solution

The third proportional to 4,205,464 and 6,588,510 is: 10,321,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205,464 : 6,588,510 = 6,588,510 : x
  2. Step 2: Convert to fraction form
    4,205,464/6,588,510 = 6,588,510/x
  3. Step 3: Cross multiply
    4,205,464x = 6,588,510 × 6,588,510
  4. Step 4: Simplify right side
    4,205,464x = 43,408,464,020,100
  5. Step 5: Solve for x
    x = 43,408,464,020,100/4,205,464
  6. Step 6: Final answer
    x = 10,321,920.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.