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Finding the Third Proportional to 2,076,938 and 4,486,032

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Solution

The third proportional to 2,076,938 and 4,486,032 is: 9,689,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076,938 : 4,486,032 = 4,486,032 : x
  2. Step 2: Convert to fraction form
    2,076,938/4,486,032 = 4,486,032/x
  3. Step 3: Cross multiply
    2,076,938x = 4,486,032 × 4,486,032
  4. Step 4: Simplify right side
    2,076,938x = 20,124,483,105,024
  5. Step 5: Solve for x
    x = 20,124,483,105,024/2,076,938
  6. Step 6: Final answer
    x = 9,689,496.32

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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.