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Finding the Third Proportional to 2,164,084 and 4,628,352

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Solution

The third proportional to 2,164,084 and 4,628,352 is: 9,898,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,084 : 4,628,352 = 4,628,352 : x
  2. Step 2: Convert to fraction form
    2,164,084/4,628,352 = 4,628,352/x
  3. Step 3: Cross multiply
    2,164,084x = 4,628,352 × 4,628,352
  4. Step 4: Simplify right side
    2,164,084x = 21,421,642,235,904
  5. Step 5: Solve for x
    x = 21,421,642,235,904/2,164,084
  6. Step 6: Final answer
    x = 9,898,711.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.