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Finding the Third Proportional to 2,309,810 and 4,766,076

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Solution

The third proportional to 2,309,810 and 4,766,076 is: 9,834,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309,810 : 4,766,076 = 4,766,076 : x
  2. Step 2: Convert to fraction form
    2,309,810/4,766,076 = 4,766,076/x
  3. Step 3: Cross multiply
    2,309,810x = 4,766,076 × 4,766,076
  4. Step 4: Simplify right side
    2,309,810x = 22,715,480,437,776
  5. Step 5: Solve for x
    x = 22,715,480,437,776/2,309,810
  6. Step 6: Final answer
    x = 9,834,350.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.