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Finding the Third Proportional to 2,128,216 and 4,670,343

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Solution

The third proportional to 2,128,216 and 4,670,343 is: 10,249,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,216 : 4,670,343 = 4,670,343 : x
  2. Step 2: Convert to fraction form
    2,128,216/4,670,343 = 4,670,343/x
  3. Step 3: Cross multiply
    2,128,216x = 4,670,343 × 4,670,343
  4. Step 4: Simplify right side
    2,128,216x = 21,812,103,737,649
  5. Step 5: Solve for x
    x = 21,812,103,737,649/2,128,216
  6. Step 6: Final answer
    x = 10,249,008.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.