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Finding the Third Proportional to 3,006,045 and 4,656,507.75

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Solution

The third proportional to 3,006,045 and 4,656,507.75 is: 7,213,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006,045 : 4,656,507.75 = 4,656,507.75 : x
  2. Step 2: Convert to fraction form
    3,006,045/4,656,507.75 = 4,656,507.75/x
  3. Step 3: Cross multiply
    3,006,045x = 4,656,507.75 × 4,656,507.75
  4. Step 4: Simplify right side
    3,006,045x = 21,683,064,425,810.06
  5. Step 5: Solve for x
    x = 21,683,064,425,810.06/3,006,045
  6. Step 6: Final answer
    x = 7,213,153.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.