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Finding the Third Proportional to 1,977,216 and 4,316,880

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Solution

The third proportional to 1,977,216 and 4,316,880 is: 9,425,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977,216 : 4,316,880 = 4,316,880 : x
  2. Step 2: Convert to fraction form
    1,977,216/4,316,880 = 4,316,880/x
  3. Step 3: Cross multiply
    1,977,216x = 4,316,880 × 4,316,880
  4. Step 4: Simplify right side
    1,977,216x = 18,635,452,934,400
  5. Step 5: Solve for x
    x = 18,635,452,934,400/1,977,216
  6. Step 6: Final answer
    x = 9,425,097.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.