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Finding the Third Proportional to 2,175,648 and 4,665,984

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Solution

The third proportional to 2,175,648 and 4,665,984 is: 10,006,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175,648 : 4,665,984 = 4,665,984 : x
  2. Step 2: Convert to fraction form
    2,175,648/4,665,984 = 4,665,984/x
  3. Step 3: Cross multiply
    2,175,648x = 4,665,984 × 4,665,984
  4. Step 4: Simplify right side
    2,175,648x = 21,771,406,688,256
  5. Step 5: Solve for x
    x = 21,771,406,688,256/2,175,648
  6. Step 6: Final answer
    x = 10,006,860.80

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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.