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Finding the Third Proportional to 2,064,432 and 4,461,015

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Solution

The third proportional to 2,064,432 and 4,461,015 is: 9,639,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064,432 : 4,461,015 = 4,461,015 : x
  2. Step 2: Convert to fraction form
    2,064,432/4,461,015 = 4,461,015/x
  3. Step 3: Cross multiply
    2,064,432x = 4,461,015 × 4,461,015
  4. Step 4: Simplify right side
    2,064,432x = 19,900,654,830,225
  5. Step 5: Solve for x
    x = 19,900,654,830,225/2,064,432
  6. Step 6: Final answer
    x = 9,639,772.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.